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Finding the Fourth Proportional to 2,379.80, 3,282.60 and 1,540.16

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Solution

The fourth proportional to 2,379.80, 3,282.60 and 1,540.16 is: 2,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.80 : 3,282.60 = 1,540.16 : x
  2. Step 2: Convert to fraction form
    2,379.80/3,282.60 = 1,540.16/x
  3. Step 3: Cross multiply
    2,379.80x = 3,282.60 × 1,540.16
  4. Step 4: Simplify right side
    2,379.80x = 5,055,729.22
  5. Step 5: Solve for x
    x = 5,055,729.22/2,379.80
  6. Step 6: Final answer
    x = 2,124.43

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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.