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Finding the Fourth Proportional to 2,147.72, 2,963.32 and 1,361.48

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Solution

The fourth proportional to 2,147.72, 2,963.32 and 1,361.48 is: 1,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.72 : 2,963.32 = 1,361.48 : x
  2. Step 2: Convert to fraction form
    2,147.72/2,963.32 = 1,361.48/x
  3. Step 3: Cross multiply
    2,147.72x = 2,963.32 × 1,361.48
  4. Step 4: Simplify right side
    2,147.72x = 4,034,500.91
  5. Step 5: Solve for x
    x = 4,034,500.91/2,147.72
  6. Step 6: Final answer
    x = 1,878.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.