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Finding the Fourth Proportional to 2,127.95, 3,191.92 and 667.21

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Solution

The fourth proportional to 2,127.95, 3,191.92 and 667.21 is: 1,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.95 : 3,191.92 = 667.21 : x
  2. Step 2: Convert to fraction form
    2,127.95/3,191.92 = 667.21/x
  3. Step 3: Cross multiply
    2,127.95x = 3,191.92 × 667.21
  4. Step 4: Simplify right side
    2,127.95x = 2,129,679.28
  5. Step 5: Solve for x
    x = 2,129,679.28/2,127.95
  6. Step 6: Final answer
    x = 1,000.82

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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.