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Finding the Fourth Proportional to 2,800.52, 4,200.80 and 748.52

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Solution

The fourth proportional to 2,800.52, 4,200.80 and 748.52 is: 1,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.52 : 4,200.80 = 748.52 : x
  2. Step 2: Convert to fraction form
    2,800.52/4,200.80 = 748.52/x
  3. Step 3: Cross multiply
    2,800.52x = 4,200.80 × 748.52
  4. Step 4: Simplify right side
    2,800.52x = 3,144,382.82
  5. Step 5: Solve for x
    x = 3,144,382.82/2,800.52
  6. Step 6: Final answer
    x = 1,122.79

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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.