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Finding the Fourth Proportional to 2,498.97, 3,744.33 and 2,037

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Solution

The fourth proportional to 2,498.97, 3,744.33 and 2,037 is: 3,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.97 : 3,744.33 = 2,037 : x
  2. Step 2: Convert to fraction form
    2,498.97/3,744.33 = 2,037/x
  3. Step 3: Cross multiply
    2,498.97x = 3,744.33 × 2,037
  4. Step 4: Simplify right side
    2,498.97x = 7,627,200.21
  5. Step 5: Solve for x
    x = 7,627,200.21/2,498.97
  6. Step 6: Final answer
    x = 3,052.14

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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.