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Finding the Fourth Proportional to 2,805.22, 4,207.46 and 956.26

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Solution

The fourth proportional to 2,805.22, 4,207.46 and 956.26 is: 1,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.22 : 4,207.46 = 956.26 : x
  2. Step 2: Convert to fraction form
    2,805.22/4,207.46 = 956.26/x
  3. Step 3: Cross multiply
    2,805.22x = 4,207.46 × 956.26
  4. Step 4: Simplify right side
    2,805.22x = 4,023,425.70
  5. Step 5: Solve for x
    x = 4,023,425.70/2,805.22
  6. Step 6: Final answer
    x = 1,434.26

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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.