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Finding the Fourth Proportional to 2,226.87, 3,340.68 and 765.67

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Solution

The fourth proportional to 2,226.87, 3,340.68 and 765.67 is: 1,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.87 : 3,340.68 = 765.67 : x
  2. Step 2: Convert to fraction form
    2,226.87/3,340.68 = 765.67/x
  3. Step 3: Cross multiply
    2,226.87x = 3,340.68 × 765.67
  4. Step 4: Simplify right side
    2,226.87x = 2,557,858.46
  5. Step 5: Solve for x
    x = 2,557,858.46/2,226.87
  6. Step 6: Final answer
    x = 1,148.63

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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.