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Finding the Fourth Proportional to 3,144.72, 4,717.08 and 836.22

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Solution

The fourth proportional to 3,144.72, 4,717.08 and 836.22 is: 1,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.72 : 4,717.08 = 836.22 : x
  2. Step 2: Convert to fraction form
    3,144.72/4,717.08 = 836.22/x
  3. Step 3: Cross multiply
    3,144.72x = 4,717.08 × 836.22
  4. Step 4: Simplify right side
    3,144.72x = 3,944,512.46
  5. Step 5: Solve for x
    x = 3,944,512.46/3,144.72
  6. Step 6: Final answer
    x = 1,254.33

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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.