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Finding the Fourth Proportional to 2,667.53, 4,001.74 and 818.46

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Solution

The fourth proportional to 2,667.53, 4,001.74 and 818.46 is: 1,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.53 : 4,001.74 = 818.46 : x
  2. Step 2: Convert to fraction form
    2,667.53/4,001.74 = 818.46/x
  3. Step 3: Cross multiply
    2,667.53x = 4,001.74 × 818.46
  4. Step 4: Simplify right side
    2,667.53x = 3,275,264.12
  5. Step 5: Solve for x
    x = 3,275,264.12/2,667.53
  6. Step 6: Final answer
    x = 1,227.83

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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.