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Finding the Fourth Proportional to 2,806.25, 4,207.92 and 956.68

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Solution

The fourth proportional to 2,806.25, 4,207.92 and 956.68 is: 1,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.25 : 4,207.92 = 956.68 : x
  2. Step 2: Convert to fraction form
    2,806.25/4,207.92 = 956.68/x
  3. Step 3: Cross multiply
    2,806.25x = 4,207.92 × 956.68
  4. Step 4: Simplify right side
    2,806.25x = 4,025,618.80
  5. Step 5: Solve for x
    x = 4,025,618.80/2,806.25
  6. Step 6: Final answer
    x = 1,434.52

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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.