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Finding the Fourth Proportional to 2,027.43, 3,041.96 and 932.45

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Solution

The fourth proportional to 2,027.43, 3,041.96 and 932.45 is: 1,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.43 : 3,041.96 = 932.45 : x
  2. Step 2: Convert to fraction form
    2,027.43/3,041.96 = 932.45/x
  3. Step 3: Cross multiply
    2,027.43x = 3,041.96 × 932.45
  4. Step 4: Simplify right side
    2,027.43x = 2,836,455.73
  5. Step 5: Solve for x
    x = 2,836,455.73/2,027.43
  6. Step 6: Final answer
    x = 1,399.04

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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.