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Finding the Fourth Proportional to 3,261.76, 4,891.92 and 952.96

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Solution

The fourth proportional to 3,261.76, 4,891.92 and 952.96 is: 1,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.76 : 4,891.92 = 952.96 : x
  2. Step 2: Convert to fraction form
    3,261.76/4,891.92 = 952.96/x
  3. Step 3: Cross multiply
    3,261.76x = 4,891.92 × 952.96
  4. Step 4: Simplify right side
    3,261.76x = 4,661,804.08
  5. Step 5: Solve for x
    x = 4,661,804.08/3,261.76
  6. Step 6: Final answer
    x = 1,429.23

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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.