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Finding the Fourth Proportional to 2,228.30, 3,338.78 and 766.66

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Solution

The fourth proportional to 2,228.30, 3,338.78 and 766.66 is: 1,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.30 : 3,338.78 = 766.66 : x
  2. Step 2: Convert to fraction form
    2,228.30/3,338.78 = 766.66/x
  3. Step 3: Cross multiply
    2,228.30x = 3,338.78 × 766.66
  4. Step 4: Simplify right side
    2,228.30x = 2,559,709.07
  5. Step 5: Solve for x
    x = 2,559,709.07/2,228.30
  6. Step 6: Final answer
    x = 1,148.73

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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.