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Finding the Fourth Proportional to 2,540.70, 3,808.98 and 1,614.36

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Solution

The fourth proportional to 2,540.70, 3,808.98 and 1,614.36 is: 2,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.70 : 3,808.98 = 1,614.36 : x
  2. Step 2: Convert to fraction form
    2,540.70/3,808.98 = 1,614.36/x
  3. Step 3: Cross multiply
    2,540.70x = 3,808.98 × 1,614.36
  4. Step 4: Simplify right side
    2,540.70x = 6,149,064.95
  5. Step 5: Solve for x
    x = 6,149,064.95/2,540.70
  6. Step 6: Final answer
    x = 2,420.22

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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.