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Finding the Fourth Proportional to 2,498.19, 3,749.16 and 939.73

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Solution

The fourth proportional to 2,498.19, 3,749.16 and 939.73 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.19 : 3,749.16 = 939.73 : x
  2. Step 2: Convert to fraction form
    2,498.19/3,749.16 = 939.73/x
  3. Step 3: Cross multiply
    2,498.19x = 3,749.16 × 939.73
  4. Step 4: Simplify right side
    2,498.19x = 3,523,174.68
  5. Step 5: Solve for x
    x = 3,523,174.68/2,498.19
  6. Step 6: Final answer
    x = 1,410.29

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1.5x scale

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.