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Finding the Fourth Proportional to 2,613.48, 3,614.61 and 2,569.74

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Solution

The fourth proportional to 2,613.48, 3,614.61 and 2,569.74 is: 3,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.48 : 3,614.61 = 2,569.74 : x
  2. Step 2: Convert to fraction form
    2,613.48/3,614.61 = 2,569.74/x
  3. Step 3: Cross multiply
    2,613.48x = 3,614.61 × 2,569.74
  4. Step 4: Simplify right side
    2,613.48x = 9,288,607.90
  5. Step 5: Solve for x
    x = 9,288,607.90/2,613.48
  6. Step 6: Final answer
    x = 3,554.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.