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Finding the Fourth Proportional to 2,689.74, 3,711.69 and 1,510.74

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Solution

The fourth proportional to 2,689.74, 3,711.69 and 1,510.74 is: 2,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.74 : 3,711.69 = 1,510.74 : x
  2. Step 2: Convert to fraction form
    2,689.74/3,711.69 = 1,510.74/x
  3. Step 3: Cross multiply
    2,689.74x = 3,711.69 × 1,510.74
  4. Step 4: Simplify right side
    2,689.74x = 5,607,398.55
  5. Step 5: Solve for x
    x = 5,607,398.55/2,689.74
  6. Step 6: Final answer
    x = 2,084.74

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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.