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Finding the Fourth Proportional to 3,454.21, 4,766.86 and 1,882.30

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Solution

The fourth proportional to 3,454.21, 4,766.86 and 1,882.30 is: 2,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.21 : 4,766.86 = 1,882.30 : x
  2. Step 2: Convert to fraction form
    3,454.21/4,766.86 = 1,882.30/x
  3. Step 3: Cross multiply
    3,454.21x = 4,766.86 × 1,882.30
  4. Step 4: Simplify right side
    3,454.21x = 8,972,669.30
  5. Step 5: Solve for x
    x = 8,972,669.30/3,454.21
  6. Step 6: Final answer
    x = 2,597.61

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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.