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Finding the Fourth Proportional to 2,227.85, 3,342.15 and 766.65

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Solution

The fourth proportional to 2,227.85, 3,342.15 and 766.65 is: 1,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.85 : 3,342.15 = 766.65 : x
  2. Step 2: Convert to fraction form
    2,227.85/3,342.15 = 766.65/x
  3. Step 3: Cross multiply
    2,227.85x = 3,342.15 × 766.65
  4. Step 4: Simplify right side
    2,227.85x = 2,562,259.30
  5. Step 5: Solve for x
    x = 2,562,259.30/2,227.85
  6. Step 6: Final answer
    x = 1,150.11

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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.