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Finding the Fourth Proportional to 2,689.85, 3,713.13 and 2,521.71

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Solution

The fourth proportional to 2,689.85, 3,713.13 and 2,521.71 is: 3,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.85 : 3,713.13 = 2,521.71 : x
  2. Step 2: Convert to fraction form
    2,689.85/3,713.13 = 2,521.71/x
  3. Step 3: Cross multiply
    2,689.85x = 3,713.13 × 2,521.71
  4. Step 4: Simplify right side
    2,689.85x = 9,363,437.05
  5. Step 5: Solve for x
    x = 9,363,437.05/2,689.85
  6. Step 6: Final answer
    x = 3,481.02

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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.