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Finding the Fourth Proportional to 2,217.72, 3,327.84 and 832.02

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Solution

The fourth proportional to 2,217.72, 3,327.84 and 832.02 is: 1,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.72 : 3,327.84 = 832.02 : x
  2. Step 2: Convert to fraction form
    2,217.72/3,327.84 = 832.02/x
  3. Step 3: Cross multiply
    2,217.72x = 3,327.84 × 832.02
  4. Step 4: Simplify right side
    2,217.72x = 2,768,829.44
  5. Step 5: Solve for x
    x = 2,768,829.44/2,217.72
  6. Step 6: Final answer
    x = 1,248.50

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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.