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Finding the Fourth Proportional to 2,937.26, 4,404.42 and 988.04

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Solution

The fourth proportional to 2,937.26, 4,404.42 and 988.04 is: 1,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.26 : 4,404.42 = 988.04 : x
  2. Step 2: Convert to fraction form
    2,937.26/4,404.42 = 988.04/x
  3. Step 3: Cross multiply
    2,937.26x = 4,404.42 × 988.04
  4. Step 4: Simplify right side
    2,937.26x = 4,351,743.14
  5. Step 5: Solve for x
    x = 4,351,743.14/2,937.26
  6. Step 6: Final answer
    x = 1,481.57

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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.