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Finding the Fourth Proportional to 2,666.80, 4,000.25 and 818.25

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Solution

The fourth proportional to 2,666.80, 4,000.25 and 818.25 is: 1,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.80 : 4,000.25 = 818.25 : x
  2. Step 2: Convert to fraction form
    2,666.80/4,000.25 = 818.25/x
  3. Step 3: Cross multiply
    2,666.80x = 4,000.25 × 818.25
  4. Step 4: Simplify right side
    2,666.80x = 3,273,204.56
  5. Step 5: Solve for x
    x = 3,273,204.56/2,666.80
  6. Step 6: Final answer
    x = 1,227.39

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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.