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Finding the Fourth Proportional to 2,142.47, 3,213.84 and 826.85

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Solution

The fourth proportional to 2,142.47, 3,213.84 and 826.85 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.47 : 3,213.84 = 826.85 : x
  2. Step 2: Convert to fraction form
    2,142.47/3,213.84 = 826.85/x
  3. Step 3: Cross multiply
    2,142.47x = 3,213.84 × 826.85
  4. Step 4: Simplify right side
    2,142.47x = 2,657,347.53
  5. Step 5: Solve for x
    x = 2,657,347.53/2,142.47
  6. Step 6: Final answer
    x = 1,240.32

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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.