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Finding the Fourth Proportional to 2,266.84, 3,399.72 and 2,046.52

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Solution

The fourth proportional to 2,266.84, 3,399.72 and 2,046.52 is: 3,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.84 : 3,399.72 = 2,046.52 : x
  2. Step 2: Convert to fraction form
    2,266.84/3,399.72 = 2,046.52/x
  3. Step 3: Cross multiply
    2,266.84x = 3,399.72 × 2,046.52
  4. Step 4: Simplify right side
    2,266.84x = 6,957,594.97
  5. Step 5: Solve for x
    x = 6,957,594.97/2,266.84
  6. Step 6: Final answer
    x = 3,069.29

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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.