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Finding the Fourth Proportional to 2,032.76, 3,047.31 and 733.92

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Solution

The fourth proportional to 2,032.76, 3,047.31 and 733.92 is: 1,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.76 : 3,047.31 = 733.92 : x
  2. Step 2: Convert to fraction form
    2,032.76/3,047.31 = 733.92/x
  3. Step 3: Cross multiply
    2,032.76x = 3,047.31 × 733.92
  4. Step 4: Simplify right side
    2,032.76x = 2,236,481.76
  5. Step 5: Solve for x
    x = 2,236,481.76/2,032.76
  6. Step 6: Final answer
    x = 1,100.22

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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.