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Finding the Fourth Proportional to 2,266.03, 3,398.32 and 1,540.27

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Solution

The fourth proportional to 2,266.03, 3,398.32 and 1,540.27 is: 2,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.03 : 3,398.32 = 1,540.27 : x
  2. Step 2: Convert to fraction form
    2,266.03/3,398.32 = 1,540.27/x
  3. Step 3: Cross multiply
    2,266.03x = 3,398.32 × 1,540.27
  4. Step 4: Simplify right side
    2,266.03x = 5,234,323.78
  5. Step 5: Solve for x
    x = 5,234,323.78/2,266.03
  6. Step 6: Final answer
    x = 2,309.91

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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.