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Finding the Fourth Proportional to 2,023.92, 2,793.02 and 1,139.74

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Solution

The fourth proportional to 2,023.92, 2,793.02 and 1,139.74 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.92 : 2,793.02 = 1,139.74 : x
  2. Step 2: Convert to fraction form
    2,023.92/2,793.02 = 1,139.74/x
  3. Step 3: Cross multiply
    2,023.92x = 2,793.02 × 1,139.74
  4. Step 4: Simplify right side
    2,023.92x = 3,183,315.58
  5. Step 5: Solve for x
    x = 3,183,315.58/2,023.92
  6. Step 6: Final answer
    x = 1,572.85

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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.