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Finding the Fourth Proportional to 2,274.74, 3,140.13 and 1,446.74

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Solution

The fourth proportional to 2,274.74, 3,140.13 and 1,446.74 is: 1,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.74 : 3,140.13 = 1,446.74 : x
  2. Step 2: Convert to fraction form
    2,274.74/3,140.13 = 1,446.74/x
  3. Step 3: Cross multiply
    2,274.74x = 3,140.13 × 1,446.74
  4. Step 4: Simplify right side
    2,274.74x = 4,542,951.68
  5. Step 5: Solve for x
    x = 4,542,951.68/2,274.74
  6. Step 6: Final answer
    x = 1,997.13

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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.