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Finding the Fourth Proportional to 2,024.12, 2,793 and 1,139.88

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Solution

The fourth proportional to 2,024.12, 2,793 and 1,139.88 is: 1,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.12 : 2,793 = 1,139.88 : x
  2. Step 2: Convert to fraction form
    2,024.12/2,793 = 1,139.88/x
  3. Step 3: Cross multiply
    2,024.12x = 2,793 × 1,139.88
  4. Step 4: Simplify right side
    2,024.12x = 3,183,684.84
  5. Step 5: Solve for x
    x = 3,183,684.84/2,024.12
  6. Step 6: Final answer
    x = 1,572.87

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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.