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Finding the Fourth Proportional to 2,599.42, 3,899.17 and 868.05

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Solution

The fourth proportional to 2,599.42, 3,899.17 and 868.05 is: 1,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.42 : 3,899.17 = 868.05 : x
  2. Step 2: Convert to fraction form
    2,599.42/3,899.17 = 868.05/x
  3. Step 3: Cross multiply
    2,599.42x = 3,899.17 × 868.05
  4. Step 4: Simplify right side
    2,599.42x = 3,384,662.60
  5. Step 5: Solve for x
    x = 3,384,662.60/2,599.42
  6. Step 6: Final answer
    x = 1,302.08

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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.