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Finding the Fourth Proportional to 2,227.29, 3,340.32 and 766.05

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Solution

The fourth proportional to 2,227.29, 3,340.32 and 766.05 is: 1,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.29 : 3,340.32 = 766.05 : x
  2. Step 2: Convert to fraction form
    2,227.29/3,340.32 = 766.05/x
  3. Step 3: Cross multiply
    2,227.29x = 3,340.32 × 766.05
  4. Step 4: Simplify right side
    2,227.29x = 2,558,852.14
  5. Step 5: Solve for x
    x = 2,558,852.14/2,227.29
  6. Step 6: Final answer
    x = 1,148.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.