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Finding the Fourth Proportional to 2,641, 3,960.13 and 1,408.08

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Solution

The fourth proportional to 2,641, 3,960.13 and 1,408.08 is: 2,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641 : 3,960.13 = 1,408.08 : x
  2. Step 2: Convert to fraction form
    2,641/3,960.13 = 1,408.08/x
  3. Step 3: Cross multiply
    2,641x = 3,960.13 × 1,408.08
  4. Step 4: Simplify right side
    2,641x = 5,576,179.85
  5. Step 5: Solve for x
    x = 5,576,179.85/2,641
  6. Step 6: Final answer
    x = 2,111.39

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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.