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Finding the Fourth Proportional to 3,254.88, 4,882.52 and 1,306.83

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Solution

The fourth proportional to 3,254.88, 4,882.52 and 1,306.83 is: 1,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.88 : 4,882.52 = 1,306.83 : x
  2. Step 2: Convert to fraction form
    3,254.88/4,882.52 = 1,306.83/x
  3. Step 3: Cross multiply
    3,254.88x = 4,882.52 × 1,306.83
  4. Step 4: Simplify right side
    3,254.88x = 6,380,623.61
  5. Step 5: Solve for x
    x = 6,380,623.61/3,254.88
  6. Step 6: Final answer
    x = 1,960.33

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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.