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Finding the Fourth Proportional to 3,272.55, 4,908.42 and 932.67

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Solution

The fourth proportional to 3,272.55, 4,908.42 and 932.67 is: 1,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.55 : 4,908.42 = 932.67 : x
  2. Step 2: Convert to fraction form
    3,272.55/4,908.42 = 932.67/x
  3. Step 3: Cross multiply
    3,272.55x = 4,908.42 × 932.67
  4. Step 4: Simplify right side
    3,272.55x = 4,577,936.08
  5. Step 5: Solve for x
    x = 4,577,936.08/3,272.55
  6. Step 6: Final answer
    x = 1,398.89

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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.