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Finding the Fourth Proportional to 3,272.65, 4,908.60 and 932.85

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Solution

The fourth proportional to 3,272.65, 4,908.60 and 932.85 is: 1,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.65 : 4,908.60 = 932.85 : x
  2. Step 2: Convert to fraction form
    3,272.65/4,908.60 = 932.85/x
  3. Step 3: Cross multiply
    3,272.65x = 4,908.60 × 932.85
  4. Step 4: Simplify right side
    3,272.65x = 4,578,987.51
  5. Step 5: Solve for x
    x = 4,578,987.51/3,272.65
  6. Step 6: Final answer
    x = 1,399.17

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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.