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Finding the Fourth Proportional to 1,659.10, 2,488.64 and 426.52

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Solution

The fourth proportional to 1,659.10, 2,488.64 and 426.52 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.10 : 2,488.64 = 426.52 : x
  2. Step 2: Convert to fraction form
    1,659.10/2,488.64 = 426.52/x
  3. Step 3: Cross multiply
    1,659.10x = 2,488.64 × 426.52
  4. Step 4: Simplify right side
    1,659.10x = 1,061,454.73
  5. Step 5: Solve for x
    x = 1,061,454.73/1,659.10
  6. Step 6: Final answer
    x = 639.78

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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.