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Finding the Fourth Proportional to 2,124.43, 2,932.10 and 1,657.87

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Solution

The fourth proportional to 2,124.43, 2,932.10 and 1,657.87 is: 2,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.43 : 2,932.10 = 1,657.87 : x
  2. Step 2: Convert to fraction form
    2,124.43/2,932.10 = 1,657.87/x
  3. Step 3: Cross multiply
    2,124.43x = 2,932.10 × 1,657.87
  4. Step 4: Simplify right side
    2,124.43x = 4,861,031.22
  5. Step 5: Solve for x
    x = 4,861,031.22/2,124.43
  6. Step 6: Final answer
    x = 2,288.16

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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.