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Finding the Fourth Proportional to 2,598.27, 3,891.93 and 1,611.69

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Solution

The fourth proportional to 2,598.27, 3,891.93 and 1,611.69 is: 2,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.27 : 3,891.93 = 1,611.69 : x
  2. Step 2: Convert to fraction form
    2,598.27/3,891.93 = 1,611.69/x
  3. Step 3: Cross multiply
    2,598.27x = 3,891.93 × 1,611.69
  4. Step 4: Simplify right side
    2,598.27x = 6,272,584.66
  5. Step 5: Solve for x
    x = 6,272,584.66/2,598.27
  6. Step 6: Final answer
    x = 2,414.14

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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.