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Finding the Fourth Proportional to 2,475.30, 3,711.69 and 743.70

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Solution

The fourth proportional to 2,475.30, 3,711.69 and 743.70 is: 1,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.30 : 3,711.69 = 743.70 : x
  2. Step 2: Convert to fraction form
    2,475.30/3,711.69 = 743.70/x
  3. Step 3: Cross multiply
    2,475.30x = 3,711.69 × 743.70
  4. Step 4: Simplify right side
    2,475.30x = 2,760,383.85
  5. Step 5: Solve for x
    x = 2,760,383.85/2,475.30
  6. Step 6: Final answer
    x = 1,115.17

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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.