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Finding the Fourth Proportional to 3,272.74, 4,908.36 and 932.70

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Solution

The fourth proportional to 3,272.74, 4,908.36 and 932.70 is: 1,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.74 : 4,908.36 = 932.70 : x
  2. Step 2: Convert to fraction form
    3,272.74/4,908.36 = 932.70/x
  3. Step 3: Cross multiply
    3,272.74x = 4,908.36 × 932.70
  4. Step 4: Simplify right side
    3,272.74x = 4,578,021.67
  5. Step 5: Solve for x
    x = 4,578,021.67/3,272.74
  6. Step 6: Final answer
    x = 1,398.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.