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Finding the Fourth Proportional to 3,040.47, 4,560.92 and 960.57

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Solution

The fourth proportional to 3,040.47, 4,560.92 and 960.57 is: 1,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.47 : 4,560.92 = 960.57 : x
  2. Step 2: Convert to fraction form
    3,040.47/4,560.92 = 960.57/x
  3. Step 3: Cross multiply
    3,040.47x = 4,560.92 × 960.57
  4. Step 4: Simplify right side
    3,040.47x = 4,381,082.92
  5. Step 5: Solve for x
    x = 4,381,082.92/3,040.47
  6. Step 6: Final answer
    x = 1,440.92

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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.