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Finding the Fourth Proportional to 2,800.13, 4,200.19 and 748.13

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Solution

The fourth proportional to 2,800.13, 4,200.19 and 748.13 is: 1,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.13 : 4,200.19 = 748.13 : x
  2. Step 2: Convert to fraction form
    2,800.13/4,200.19 = 748.13/x
  3. Step 3: Cross multiply
    2,800.13x = 4,200.19 × 748.13
  4. Step 4: Simplify right side
    2,800.13x = 3,142,265.27
  5. Step 5: Solve for x
    x = 3,142,265.27/2,800.13
  6. Step 6: Final answer
    x = 1,122.19

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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.