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Finding the Fourth Proportional to 2,407.97, 3,613.14 and 1,092.66

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Solution

The fourth proportional to 2,407.97, 3,613.14 and 1,092.66 is: 1,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.97 : 3,613.14 = 1,092.66 : x
  2. Step 2: Convert to fraction form
    2,407.97/3,613.14 = 1,092.66/x
  3. Step 3: Cross multiply
    2,407.97x = 3,613.14 × 1,092.66
  4. Step 4: Simplify right side
    2,407.97x = 3,947,933.55
  5. Step 5: Solve for x
    x = 3,947,933.55/2,407.97
  6. Step 6: Final answer
    x = 1,639.53

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