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Finding the Fourth Proportional to 3,043.56, 4,565.34 and 1,742.25

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Solution

The fourth proportional to 3,043.56, 4,565.34 and 1,742.25 is: 2,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.56 : 4,565.34 = 1,742.25 : x
  2. Step 2: Convert to fraction form
    3,043.56/4,565.34 = 1,742.25/x
  3. Step 3: Cross multiply
    3,043.56x = 4,565.34 × 1,742.25
  4. Step 4: Simplify right side
    3,043.56x = 7,953,963.62
  5. Step 5: Solve for x
    x = 7,953,963.62/3,043.56
  6. Step 6: Final answer
    x = 2,613.38

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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.