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Finding the Fourth Proportional to 3,260.87, 4,891.24 and 795.68

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Solution

The fourth proportional to 3,260.87, 4,891.24 and 795.68 is: 1,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.87 : 4,891.24 = 795.68 : x
  2. Step 2: Convert to fraction form
    3,260.87/4,891.24 = 795.68/x
  3. Step 3: Cross multiply
    3,260.87x = 4,891.24 × 795.68
  4. Step 4: Simplify right side
    3,260.87x = 3,891,861.84
  5. Step 5: Solve for x
    x = 3,891,861.84/3,260.87
  6. Step 6: Final answer
    x = 1,193.50

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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.