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Finding the Fourth Proportional to 2,891.89, 4,337.70 and 1,159.30

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Solution

The fourth proportional to 2,891.89, 4,337.70 and 1,159.30 is: 1,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.89 : 4,337.70 = 1,159.30 : x
  2. Step 2: Convert to fraction form
    2,891.89/4,337.70 = 1,159.30/x
  3. Step 3: Cross multiply
    2,891.89x = 4,337.70 × 1,159.30
  4. Step 4: Simplify right side
    2,891.89x = 5,028,695.61
  5. Step 5: Solve for x
    x = 5,028,695.61/2,891.89
  6. Step 6: Final answer
    x = 1,738.90

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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.