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Finding the Fourth Proportional to 3,164.42, 4,744.95 and 1,582.89

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Solution

The fourth proportional to 3,164.42, 4,744.95 and 1,582.89 is: 2,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.42 : 4,744.95 = 1,582.89 : x
  2. Step 2: Convert to fraction form
    3,164.42/4,744.95 = 1,582.89/x
  3. Step 3: Cross multiply
    3,164.42x = 4,744.95 × 1,582.89
  4. Step 4: Simplify right side
    3,164.42x = 7,510,733.91
  5. Step 5: Solve for x
    x = 7,510,733.91/3,164.42
  6. Step 6: Final answer
    x = 2,373.49

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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.