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Finding the Fourth Proportional to 2,540.34, 3,812.10 and 1,241.10

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Solution

The fourth proportional to 2,540.34, 3,812.10 and 1,241.10 is: 1,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.34 : 3,812.10 = 1,241.10 : x
  2. Step 2: Convert to fraction form
    2,540.34/3,812.10 = 1,241.10/x
  3. Step 3: Cross multiply
    2,540.34x = 3,812.10 × 1,241.10
  4. Step 4: Simplify right side
    2,540.34x = 4,731,197.31
  5. Step 5: Solve for x
    x = 4,731,197.31/2,540.34
  6. Step 6: Final answer
    x = 1,862.43

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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.