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Finding the Fourth Proportional to 3,059.90, 4,589.85 and 868.65

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Solution

The fourth proportional to 3,059.90, 4,589.85 and 868.65 is: 1,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.90 : 4,589.85 = 868.65 : x
  2. Step 2: Convert to fraction form
    3,059.90/4,589.85 = 868.65/x
  3. Step 3: Cross multiply
    3,059.90x = 4,589.85 × 868.65
  4. Step 4: Simplify right side
    3,059.90x = 3,986,970.94
  5. Step 5: Solve for x
    x = 3,986,970.94/3,059.90
  6. Step 6: Final answer
    x = 1,302.97

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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.