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Finding the Fourth Proportional to 2,228.38, 3,342.65 and 747.70

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Solution

The fourth proportional to 2,228.38, 3,342.65 and 747.70 is: 1,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.38 : 3,342.65 = 747.70 : x
  2. Step 2: Convert to fraction form
    2,228.38/3,342.65 = 747.70/x
  3. Step 3: Cross multiply
    2,228.38x = 3,342.65 × 747.70
  4. Step 4: Simplify right side
    2,228.38x = 2,499,287.31
  5. Step 5: Solve for x
    x = 2,499,287.31/2,228.38
  6. Step 6: Final answer
    x = 1,121.57

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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.