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Finding the Fourth Proportional to 2,641.98, 3,963.06 and 998.13

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Solution

The fourth proportional to 2,641.98, 3,963.06 and 998.13 is: 1,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.98 : 3,963.06 = 998.13 : x
  2. Step 2: Convert to fraction form
    2,641.98/3,963.06 = 998.13/x
  3. Step 3: Cross multiply
    2,641.98x = 3,963.06 × 998.13
  4. Step 4: Simplify right side
    2,641.98x = 3,955,649.08
  5. Step 5: Solve for x
    x = 3,955,649.08/2,641.98
  6. Step 6: Final answer
    x = 1,497.23

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Similar ratio
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1.5x scale

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.