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Finding the Fourth Proportional to 2,641.10, 3,963.01 and 1,342.57

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Solution

The fourth proportional to 2,641.10, 3,963.01 and 1,342.57 is: 2,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.10 : 3,963.01 = 1,342.57 : x
  2. Step 2: Convert to fraction form
    2,641.10/3,963.01 = 1,342.57/x
  3. Step 3: Cross multiply
    2,641.10x = 3,963.01 × 1,342.57
  4. Step 4: Simplify right side
    2,641.10x = 5,320,598.52
  5. Step 5: Solve for x
    x = 5,320,598.52/2,641.10
  6. Step 6: Final answer
    x = 2,014.54

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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.