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Finding the Fourth Proportional to 1,660.20, 2,490.48 and 686.16

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Solution

The fourth proportional to 1,660.20, 2,490.48 and 686.16 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.20 : 2,490.48 = 686.16 : x
  2. Step 2: Convert to fraction form
    1,660.20/2,490.48 = 686.16/x
  3. Step 3: Cross multiply
    1,660.20x = 2,490.48 × 686.16
  4. Step 4: Simplify right side
    1,660.20x = 1,708,867.76
  5. Step 5: Solve for x
    x = 1,708,867.76/1,660.20
  6. Step 6: Final answer
    x = 1,029.31

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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.