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Finding the Fourth Proportional to 2,227.05, 3,340.12 and 766.32

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Solution

The fourth proportional to 2,227.05, 3,340.12 and 766.32 is: 1,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.05 : 3,340.12 = 766.32 : x
  2. Step 2: Convert to fraction form
    2,227.05/3,340.12 = 766.32/x
  3. Step 3: Cross multiply
    2,227.05x = 3,340.12 × 766.32
  4. Step 4: Simplify right side
    2,227.05x = 2,559,587.75
  5. Step 5: Solve for x
    x = 2,559,587.75/2,227.05
  6. Step 6: Final answer
    x = 1,149.32

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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.