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Finding the Fourth Proportional to 2,149.49, 3,221.19 and 915.65

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Solution

The fourth proportional to 2,149.49, 3,221.19 and 915.65 is: 1,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.49 : 3,221.19 = 915.65 : x
  2. Step 2: Convert to fraction form
    2,149.49/3,221.19 = 915.65/x
  3. Step 3: Cross multiply
    2,149.49x = 3,221.19 × 915.65
  4. Step 4: Simplify right side
    2,149.49x = 2,949,482.62
  5. Step 5: Solve for x
    x = 2,949,482.62/2,149.49
  6. Step 6: Final answer
    x = 1,372.18

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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.