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Finding the Fourth Proportional to 3,057.20, 4,585.78 and 748.70

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Solution

The fourth proportional to 3,057.20, 4,585.78 and 748.70 is: 1,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.20 : 4,585.78 = 748.70 : x
  2. Step 2: Convert to fraction form
    3,057.20/4,585.78 = 748.70/x
  3. Step 3: Cross multiply
    3,057.20x = 4,585.78 × 748.70
  4. Step 4: Simplify right side
    3,057.20x = 3,433,373.49
  5. Step 5: Solve for x
    x = 3,433,373.49/3,057.20
  6. Step 6: Final answer
    x = 1,123.05

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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.