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Finding the Fourth Proportional to 3,145.47, 4,718.20 and 836.97

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Solution

The fourth proportional to 3,145.47, 4,718.20 and 836.97 is: 1,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.47 : 4,718.20 = 836.97 : x
  2. Step 2: Convert to fraction form
    3,145.47/4,718.20 = 836.97/x
  3. Step 3: Cross multiply
    3,145.47x = 4,718.20 × 836.97
  4. Step 4: Simplify right side
    3,145.47x = 3,948,991.85
  5. Step 5: Solve for x
    x = 3,948,991.85/3,145.47
  6. Step 6: Final answer
    x = 1,255.45

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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.