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Finding the Fourth Proportional to 1,659.85, 2,292.17 and 1,422.43

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Solution

The fourth proportional to 1,659.85, 2,292.17 and 1,422.43 is: 1,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.85 : 2,292.17 = 1,422.43 : x
  2. Step 2: Convert to fraction form
    1,659.85/2,292.17 = 1,422.43/x
  3. Step 3: Cross multiply
    1,659.85x = 2,292.17 × 1,422.43
  4. Step 4: Simplify right side
    1,659.85x = 3,260,438.53
  5. Step 5: Solve for x
    x = 3,260,438.53/1,659.85
  6. Step 6: Final answer
    x = 1,964.30

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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.