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Finding the Fourth Proportional to 2,380.88, 3,284.16 and 1,540.24

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Solution

The fourth proportional to 2,380.88, 3,284.16 and 1,540.24 is: 2,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.88 : 3,284.16 = 1,540.24 : x
  2. Step 2: Convert to fraction form
    2,380.88/3,284.16 = 1,540.24/x
  3. Step 3: Cross multiply
    2,380.88x = 3,284.16 × 1,540.24
  4. Step 4: Simplify right side
    2,380.88x = 5,058,394.60
  5. Step 5: Solve for x
    x = 5,058,394.60/2,380.88
  6. Step 6: Final answer
    x = 2,124.59

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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.