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Finding the Fourth Proportional to 2,417.92, 3,627.70 and 956.27

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Solution

The fourth proportional to 2,417.92, 3,627.70 and 956.27 is: 1,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.92 : 3,627.70 = 956.27 : x
  2. Step 2: Convert to fraction form
    2,417.92/3,627.70 = 956.27/x
  3. Step 3: Cross multiply
    2,417.92x = 3,627.70 × 956.27
  4. Step 4: Simplify right side
    2,417.92x = 3,469,067.36
  5. Step 5: Solve for x
    x = 3,469,067.36/2,417.92
  6. Step 6: Final answer
    x = 1,434.73

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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.