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Finding the Fourth Proportional to 2,839.86, 4,260.22 and 891.88

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Solution

The fourth proportional to 2,839.86, 4,260.22 and 891.88 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.86 : 4,260.22 = 891.88 : x
  2. Step 2: Convert to fraction form
    2,839.86/4,260.22 = 891.88/x
  3. Step 3: Cross multiply
    2,839.86x = 4,260.22 × 891.88
  4. Step 4: Simplify right side
    2,839.86x = 3,799,605.01
  5. Step 5: Solve for x
    x = 3,799,605.01/2,839.86
  6. Step 6: Final answer
    x = 1,337.96

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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.