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Finding the Fourth Proportional to 2,998.97, 4,498.43 and 2,306.87

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Solution

The fourth proportional to 2,998.97, 4,498.43 and 2,306.87 is: 3,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.97 : 4,498.43 = 2,306.87 : x
  2. Step 2: Convert to fraction form
    2,998.97/4,498.43 = 2,306.87/x
  3. Step 3: Cross multiply
    2,998.97x = 4,498.43 × 2,306.87
  4. Step 4: Simplify right side
    2,998.97x = 10,377,264.95
  5. Step 5: Solve for x
    x = 10,377,264.95/2,998.97
  6. Step 6: Final answer
    x = 3,460.28

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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.