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Finding the Fourth Proportional to 1,549.92, 2,324.88 and 671.70

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Solution

The fourth proportional to 1,549.92, 2,324.88 and 671.70 is: 1,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.92 : 2,324.88 = 671.70 : x
  2. Step 2: Convert to fraction form
    1,549.92/2,324.88 = 671.70/x
  3. Step 3: Cross multiply
    1,549.92x = 2,324.88 × 671.70
  4. Step 4: Simplify right side
    1,549.92x = 1,561,621.90
  5. Step 5: Solve for x
    x = 1,561,621.90/1,549.92
  6. Step 6: Final answer
    x = 1,007.55

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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.