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Finding the Fourth Proportional to 1,589.92, 2,197.20 and 1,431.52

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Solution

The fourth proportional to 1,589.92, 2,197.20 and 1,431.52 is: 1,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.92 : 2,197.20 = 1,431.52 : x
  2. Step 2: Convert to fraction form
    1,589.92/2,197.20 = 1,431.52/x
  3. Step 3: Cross multiply
    1,589.92x = 2,197.20 × 1,431.52
  4. Step 4: Simplify right side
    1,589.92x = 3,145,335.74
  5. Step 5: Solve for x
    x = 3,145,335.74/1,589.92
  6. Step 6: Final answer
    x = 1,978.30

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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.