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Finding the Fourth Proportional to 2,876.38, 4,321.86 and 1,836.88

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Solution

The fourth proportional to 2,876.38, 4,321.86 and 1,836.88 is: 2,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.38 : 4,321.86 = 1,836.88 : x
  2. Step 2: Convert to fraction form
    2,876.38/4,321.86 = 1,836.88/x
  3. Step 3: Cross multiply
    2,876.38x = 4,321.86 × 1,836.88
  4. Step 4: Simplify right side
    2,876.38x = 7,938,738.20
  5. Step 5: Solve for x
    x = 7,938,738.20/2,876.38
  6. Step 6: Final answer
    x = 2,759.98

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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.