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Finding the Fourth Proportional to 2,217.36, 3,327.71 and 832.05

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Solution

The fourth proportional to 2,217.36, 3,327.71 and 832.05 is: 1,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.36 : 3,327.71 = 832.05 : x
  2. Step 2: Convert to fraction form
    2,217.36/3,327.71 = 832.05/x
  3. Step 3: Cross multiply
    2,217.36x = 3,327.71 × 832.05
  4. Step 4: Simplify right side
    2,217.36x = 2,768,816.95
  5. Step 5: Solve for x
    x = 2,768,816.95/2,217.36
  6. Step 6: Final answer
    x = 1,248.70

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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.