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Finding the Fourth Proportional to 2,023.94, 2,793.03 and 1,139.72

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Solution

The fourth proportional to 2,023.94, 2,793.03 and 1,139.72 is: 1,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.94 : 2,793.03 = 1,139.72 : x
  2. Step 2: Convert to fraction form
    2,023.94/2,793.03 = 1,139.72/x
  3. Step 3: Cross multiply
    2,023.94x = 2,793.03 × 1,139.72
  4. Step 4: Simplify right side
    2,023.94x = 3,183,272.15
  5. Step 5: Solve for x
    x = 3,183,272.15/2,023.94
  6. Step 6: Final answer
    x = 1,572.81

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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.