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Finding the Fourth Proportional to 1,613.56, 2,404.19 and 1,542.76

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Solution

The fourth proportional to 1,613.56, 2,404.19 and 1,542.76 is: 2,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.56 : 2,404.19 = 1,542.76 : x
  2. Step 2: Convert to fraction form
    1,613.56/2,404.19 = 1,542.76/x
  3. Step 3: Cross multiply
    1,613.56x = 2,404.19 × 1,542.76
  4. Step 4: Simplify right side
    1,613.56x = 3,709,088.16
  5. Step 5: Solve for x
    x = 3,709,088.16/1,613.56
  6. Step 6: Final answer
    x = 2,298.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.