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Finding the Fourth Proportional to 2,225.85, 3,338.62 and 764.97

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Solution

The fourth proportional to 2,225.85, 3,338.62 and 764.97 is: 1,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.85 : 3,338.62 = 764.97 : x
  2. Step 2: Convert to fraction form
    2,225.85/3,338.62 = 764.97/x
  3. Step 3: Cross multiply
    2,225.85x = 3,338.62 × 764.97
  4. Step 4: Simplify right side
    2,225.85x = 2,553,940.32
  5. Step 5: Solve for x
    x = 2,553,940.32/2,225.85
  6. Step 6: Final answer
    x = 1,147.40

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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.