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Finding the Fourth Proportional to 3,260.82, 4,891.95 and 952.50

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Solution

The fourth proportional to 3,260.82, 4,891.95 and 952.50 is: 1,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.82 : 4,891.95 = 952.50 : x
  2. Step 2: Convert to fraction form
    3,260.82/4,891.95 = 952.50/x
  3. Step 3: Cross multiply
    3,260.82x = 4,891.95 × 952.50
  4. Step 4: Simplify right side
    3,260.82x = 4,659,582.38
  5. Step 5: Solve for x
    x = 4,659,582.38/3,260.82
  6. Step 6: Final answer
    x = 1,428.96

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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.