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Finding the Fourth Proportional to 1,659.60, 2,488.17 and 1,431.18

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Solution

The fourth proportional to 1,659.60, 2,488.17 and 1,431.18 is: 2,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.60 : 2,488.17 = 1,431.18 : x
  2. Step 2: Convert to fraction form
    1,659.60/2,488.17 = 1,431.18/x
  3. Step 3: Cross multiply
    1,659.60x = 2,488.17 × 1,431.18
  4. Step 4: Simplify right side
    1,659.60x = 3,561,019.14
  5. Step 5: Solve for x
    x = 3,561,019.14/1,659.60
  6. Step 6: Final answer
    x = 2,145.71

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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.