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Finding the Fourth Proportional to 2,139.03, 3,209.02 and 752.46

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Solution

The fourth proportional to 2,139.03, 3,209.02 and 752.46 is: 1,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.03 : 3,209.02 = 752.46 : x
  2. Step 2: Convert to fraction form
    2,139.03/3,209.02 = 752.46/x
  3. Step 3: Cross multiply
    2,139.03x = 3,209.02 × 752.46
  4. Step 4: Simplify right side
    2,139.03x = 2,414,645.27
  5. Step 5: Solve for x
    x = 2,414,645.27/2,139.03
  6. Step 6: Final answer
    x = 1,128.85

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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.