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Finding the Fourth Proportional to 2,689.26, 3,711.42 and 1,510.62

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Solution

The fourth proportional to 2,689.26, 3,711.42 and 1,510.62 is: 2,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.26 : 3,711.42 = 1,510.62 : x
  2. Step 2: Convert to fraction form
    2,689.26/3,711.42 = 1,510.62/x
  3. Step 3: Cross multiply
    2,689.26x = 3,711.42 × 1,510.62
  4. Step 4: Simplify right side
    2,689.26x = 5,606,545.28
  5. Step 5: Solve for x
    x = 5,606,545.28/2,689.26
  6. Step 6: Final answer
    x = 2,084.79

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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.