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Finding the Fourth Proportional to 2,689.46, 3,711.42 and 1,510.58

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Solution

The fourth proportional to 2,689.46, 3,711.42 and 1,510.58 is: 2,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.46 : 3,711.42 = 1,510.58 : x
  2. Step 2: Convert to fraction form
    2,689.46/3,711.42 = 1,510.58/x
  3. Step 3: Cross multiply
    2,689.46x = 3,711.42 × 1,510.58
  4. Step 4: Simplify right side
    2,689.46x = 5,606,396.82
  5. Step 5: Solve for x
    x = 5,606,396.82/2,689.46
  6. Step 6: Final answer
    x = 2,084.58

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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.