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Finding the Fourth Proportional to 2,226.79, 3,340.59 and 765.59

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Solution

The fourth proportional to 2,226.79, 3,340.59 and 765.59 is: 1,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.79 : 3,340.59 = 765.59 : x
  2. Step 2: Convert to fraction form
    2,226.79/3,340.59 = 765.59/x
  3. Step 3: Cross multiply
    2,226.79x = 3,340.59 × 765.59
  4. Step 4: Simplify right side
    2,226.79x = 2,557,507.03
  5. Step 5: Solve for x
    x = 2,557,507.03/2,226.79
  6. Step 6: Final answer
    x = 1,148.52

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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.