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Finding the Fourth Proportional to 2,506.65, 3,759.98 and 863.22

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Solution

The fourth proportional to 2,506.65, 3,759.98 and 863.22 is: 1,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.65 : 3,759.98 = 863.22 : x
  2. Step 2: Convert to fraction form
    2,506.65/3,759.98 = 863.22/x
  3. Step 3: Cross multiply
    2,506.65x = 3,759.98 × 863.22
  4. Step 4: Simplify right side
    2,506.65x = 3,245,689.94
  5. Step 5: Solve for x
    x = 3,245,689.94/2,506.65
  6. Step 6: Final answer
    x = 1,294.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.