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Finding the Fourth Proportional to 2,269.31, 3,398.02 and 1,486.85

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Solution

The fourth proportional to 2,269.31, 3,398.02 and 1,486.85 is: 2,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.31 : 3,398.02 = 1,486.85 : x
  2. Step 2: Convert to fraction form
    2,269.31/3,398.02 = 1,486.85/x
  3. Step 3: Cross multiply
    2,269.31x = 3,398.02 × 1,486.85
  4. Step 4: Simplify right side
    2,269.31x = 5,052,325.33
  5. Step 5: Solve for x
    x = 5,052,325.33/2,269.31
  6. Step 6: Final answer
    x = 2,226.38

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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.