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Finding the Fourth Proportional to 2,497.90, 3,744.76 and 937.02

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Solution

The fourth proportional to 2,497.90, 3,744.76 and 937.02 is: 1,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.90 : 3,744.76 = 937.02 : x
  2. Step 2: Convert to fraction form
    2,497.90/3,744.76 = 937.02/x
  3. Step 3: Cross multiply
    2,497.90x = 3,744.76 × 937.02
  4. Step 4: Simplify right side
    2,497.90x = 3,508,915.02
  5. Step 5: Solve for x
    x = 3,508,915.02/2,497.90
  6. Step 6: Final answer
    x = 1,404.75

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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.