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Finding the Fourth Proportional to 2,159.29, 3,240.51 and 861.13

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Solution

The fourth proportional to 2,159.29, 3,240.51 and 861.13 is: 1,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.29 : 3,240.51 = 861.13 : x
  2. Step 2: Convert to fraction form
    2,159.29/3,240.51 = 861.13/x
  3. Step 3: Cross multiply
    2,159.29x = 3,240.51 × 861.13
  4. Step 4: Simplify right side
    2,159.29x = 2,790,500.38
  5. Step 5: Solve for x
    x = 2,790,500.38/2,159.29
  6. Step 6: Final answer
    x = 1,292.32

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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.