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Finding the Fourth Proportional to 3,454.49, 4,767.14 and 1,882.55

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Solution

The fourth proportional to 3,454.49, 4,767.14 and 1,882.55 is: 2,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.49 : 4,767.14 = 1,882.55 : x
  2. Step 2: Convert to fraction form
    3,454.49/4,767.14 = 1,882.55/x
  3. Step 3: Cross multiply
    3,454.49x = 4,767.14 × 1,882.55
  4. Step 4: Simplify right side
    3,454.49x = 8,974,346.16
  5. Step 5: Solve for x
    x = 8,974,346.16/3,454.49
  6. Step 6: Final answer
    x = 2,597.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.