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Finding the Fourth Proportional to 2,599.76, 3,891.61 and 2,080.89

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Solution

The fourth proportional to 2,599.76, 3,891.61 and 2,080.89 is: 3,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.76 : 3,891.61 = 2,080.89 : x
  2. Step 2: Convert to fraction form
    2,599.76/3,891.61 = 2,080.89/x
  3. Step 3: Cross multiply
    2,599.76x = 3,891.61 × 2,080.89
  4. Step 4: Simplify right side
    2,599.76x = 8,098,014.93
  5. Step 5: Solve for x
    x = 8,098,014.93/2,599.76
  6. Step 6: Final answer
    x = 3,114.91

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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.