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Finding the Fourth Proportional to 2,542.41, 3,810.87 and 1,662.14

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Solution

The fourth proportional to 2,542.41, 3,810.87 and 1,662.14 is: 2,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.41 : 3,810.87 = 1,662.14 : x
  2. Step 2: Convert to fraction form
    2,542.41/3,810.87 = 1,662.14/x
  3. Step 3: Cross multiply
    2,542.41x = 3,810.87 × 1,662.14
  4. Step 4: Simplify right side
    2,542.41x = 6,334,180.41
  5. Step 5: Solve for x
    x = 6,334,180.41/2,542.41
  6. Step 6: Final answer
    x = 2,491.41

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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.