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Finding the Fourth Proportional to 2,960.52, 4,442.40 and 1,921.20

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Solution

The fourth proportional to 2,960.52, 4,442.40 and 1,921.20 is: 2,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.52 : 4,442.40 = 1,921.20 : x
  2. Step 2: Convert to fraction form
    2,960.52/4,442.40 = 1,921.20/x
  3. Step 3: Cross multiply
    2,960.52x = 4,442.40 × 1,921.20
  4. Step 4: Simplify right side
    2,960.52x = 8,534,738.88
  5. Step 5: Solve for x
    x = 8,534,738.88/2,960.52
  6. Step 6: Final answer
    x = 2,882.85

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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.