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Finding the Fourth Proportional to 2,032.28, 3,044.37 and 935.15

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Solution

The fourth proportional to 2,032.28, 3,044.37 and 935.15 is: 1,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.28 : 3,044.37 = 935.15 : x
  2. Step 2: Convert to fraction form
    2,032.28/3,044.37 = 935.15/x
  3. Step 3: Cross multiply
    2,032.28x = 3,044.37 × 935.15
  4. Step 4: Simplify right side
    2,032.28x = 2,846,942.61
  5. Step 5: Solve for x
    x = 2,846,942.61/2,032.28
  6. Step 6: Final answer
    x = 1,400.86

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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.