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Finding the Fourth Proportional to 2,023.85, 2,793.01 and 1,139.71

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Solution

The fourth proportional to 2,023.85, 2,793.01 and 1,139.71 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.85 : 2,793.01 = 1,139.71 : x
  2. Step 2: Convert to fraction form
    2,023.85/2,793.01 = 1,139.71/x
  3. Step 3: Cross multiply
    2,023.85x = 2,793.01 × 1,139.71
  4. Step 4: Simplify right side
    2,023.85x = 3,183,223.62
  5. Step 5: Solve for x
    x = 3,183,223.62/2,023.85
  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.