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Finding the Fourth Proportional to 2,379.23, 3,282.23 and 1,540.20

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Solution

The fourth proportional to 2,379.23, 3,282.23 and 1,540.20 is: 2,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.23 : 3,282.23 = 1,540.20 : x
  2. Step 2: Convert to fraction form
    2,379.23/3,282.23 = 1,540.20/x
  3. Step 3: Cross multiply
    2,379.23x = 3,282.23 × 1,540.20
  4. Step 4: Simplify right side
    2,379.23x = 5,055,304.36
  5. Step 5: Solve for x
    x = 5,055,304.36/2,379.23
  6. Step 6: Final answer
    x = 2,124.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.