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Finding the Fourth Proportional to 3,463.89, 5,194.95 and 1,613.22

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Solution

The fourth proportional to 3,463.89, 5,194.95 and 1,613.22 is: 2,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.89 : 5,194.95 = 1,613.22 : x
  2. Step 2: Convert to fraction form
    3,463.89/5,194.95 = 1,613.22/x
  3. Step 3: Cross multiply
    3,463.89x = 5,194.95 × 1,613.22
  4. Step 4: Simplify right side
    3,463.89x = 8,380,597.24
  5. Step 5: Solve for x
    x = 8,380,597.24/3,463.89
  6. Step 6: Final answer
    x = 2,419.42

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.