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Finding the Fourth Proportional to 2,498.57, 3,744.59 and 2,149.50

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Solution

The fourth proportional to 2,498.57, 3,744.59 and 2,149.50 is: 3,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.57 : 3,744.59 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    2,498.57/3,744.59 = 2,149.50/x
  3. Step 3: Cross multiply
    2,498.57x = 3,744.59 × 2,149.50
  4. Step 4: Simplify right side
    2,498.57x = 8,048,985.46
  5. Step 5: Solve for x
    x = 8,048,985.46/2,498.57
  6. Step 6: Final answer
    x = 3,221.44

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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.