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Finding the Fourth Proportional to 2,510.92, 3,760.71 and 1,686.85

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Solution

The fourth proportional to 2,510.92, 3,760.71 and 1,686.85 is: 2,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.92 : 3,760.71 = 1,686.85 : x
  2. Step 2: Convert to fraction form
    2,510.92/3,760.71 = 1,686.85/x
  3. Step 3: Cross multiply
    2,510.92x = 3,760.71 × 1,686.85
  4. Step 4: Simplify right side
    2,510.92x = 6,343,753.66
  5. Step 5: Solve for x
    x = 6,343,753.66/2,510.92
  6. Step 6: Final answer
    x = 2,526.47

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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.