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Finding the Fourth Proportional to 2,599.56, 3,899.55 and 868.19

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Solution

The fourth proportional to 2,599.56, 3,899.55 and 868.19 is: 1,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.56 : 3,899.55 = 868.19 : x
  2. Step 2: Convert to fraction form
    2,599.56/3,899.55 = 868.19/x
  3. Step 3: Cross multiply
    2,599.56x = 3,899.55 × 868.19
  4. Step 4: Simplify right side
    2,599.56x = 3,385,550.31
  5. Step 5: Solve for x
    x = 3,385,550.31/2,599.56
  6. Step 6: Final answer
    x = 1,302.36

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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.