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Finding the Fourth Proportional to 2,519.20, 3,778.65 and 875.61

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Solution

The fourth proportional to 2,519.20, 3,778.65 and 875.61 is: 1,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.20 : 3,778.65 = 875.61 : x
  2. Step 2: Convert to fraction form
    2,519.20/3,778.65 = 875.61/x
  3. Step 3: Cross multiply
    2,519.20x = 3,778.65 × 875.61
  4. Step 4: Simplify right side
    2,519.20x = 3,308,623.73
  5. Step 5: Solve for x
    x = 3,308,623.73/2,519.20
  6. Step 6: Final answer
    x = 1,313.36

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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.