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Finding the Fourth Proportional to 2,649.90, 3,975.44 and 871.04

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Solution

The fourth proportional to 2,649.90, 3,975.44 and 871.04 is: 1,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.90 : 3,975.44 = 871.04 : x
  2. Step 2: Convert to fraction form
    2,649.90/3,975.44 = 871.04/x
  3. Step 3: Cross multiply
    2,649.90x = 3,975.44 × 871.04
  4. Step 4: Simplify right side
    2,649.90x = 3,462,743.03
  5. Step 5: Solve for x
    x = 3,462,743.03/2,649.90
  6. Step 6: Final answer
    x = 1,306.74

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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.