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Finding the Fourth Proportional to 2,600.27, 3,899.98 and 868.89

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Solution

The fourth proportional to 2,600.27, 3,899.98 and 868.89 is: 1,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.27 : 3,899.98 = 868.89 : x
  2. Step 2: Convert to fraction form
    2,600.27/3,899.98 = 868.89/x
  3. Step 3: Cross multiply
    2,600.27x = 3,899.98 × 868.89
  4. Step 4: Simplify right side
    2,600.27x = 3,388,653.62
  5. Step 5: Solve for x
    x = 3,388,653.62/2,600.27
  6. Step 6: Final answer
    x = 1,303.19

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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.