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Finding the Fourth Proportional to 2,575.92, 3,858.48 and 2,187.66

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Solution

The fourth proportional to 2,575.92, 3,858.48 and 2,187.66 is: 3,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.92 : 3,858.48 = 2,187.66 : x
  2. Step 2: Convert to fraction form
    2,575.92/3,858.48 = 2,187.66/x
  3. Step 3: Cross multiply
    2,575.92x = 3,858.48 × 2,187.66
  4. Step 4: Simplify right side
    2,575.92x = 8,441,042.36
  5. Step 5: Solve for x
    x = 8,441,042.36/2,575.92
  6. Step 6: Final answer
    x = 3,276.90

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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.