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Finding the Fourth Proportional to 3,040.28, 4,560.42 and 731.78

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Solution

The fourth proportional to 3,040.28, 4,560.42 and 731.78 is: 1,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.28 : 4,560.42 = 731.78 : x
  2. Step 2: Convert to fraction form
    3,040.28/4,560.42 = 731.78/x
  3. Step 3: Cross multiply
    3,040.28x = 4,560.42 × 731.78
  4. Step 4: Simplify right side
    3,040.28x = 3,337,224.15
  5. Step 5: Solve for x
    x = 3,337,224.15/3,040.28
  6. Step 6: Final answer
    x = 1,097.67

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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.