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Finding the Fourth Proportional to 2,974.13, 4,097.13 and 2,502.03

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Solution

The fourth proportional to 2,974.13, 4,097.13 and 2,502.03 is: 3,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.13 : 4,097.13 = 2,502.03 : x
  2. Step 2: Convert to fraction form
    2,974.13/4,097.13 = 2,502.03/x
  3. Step 3: Cross multiply
    2,974.13x = 4,097.13 × 2,502.03
  4. Step 4: Simplify right side
    2,974.13x = 10,251,142.17
  5. Step 5: Solve for x
    x = 10,251,142.17/2,974.13
  6. Step 6: Final answer
    x = 3,446.78

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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.