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Finding the Fourth Proportional to 2,498.97, 3,447.09 and 1,503.66

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Solution

The fourth proportional to 2,498.97, 3,447.09 and 1,503.66 is: 2,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.97 : 3,447.09 = 1,503.66 : x
  2. Step 2: Convert to fraction form
    2,498.97/3,447.09 = 1,503.66/x
  3. Step 3: Cross multiply
    2,498.97x = 3,447.09 × 1,503.66
  4. Step 4: Simplify right side
    2,498.97x = 5,183,251.35
  5. Step 5: Solve for x
    x = 5,183,251.35/2,498.97
  6. Step 6: Final answer
    x = 2,074.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.