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Finding the Fourth Proportional to 2,142.31, 2,957.05 and 1,986.49

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Solution

The fourth proportional to 2,142.31, 2,957.05 and 1,986.49 is: 2,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.31 : 2,957.05 = 1,986.49 : x
  2. Step 2: Convert to fraction form
    2,142.31/2,957.05 = 1,986.49/x
  3. Step 3: Cross multiply
    2,142.31x = 2,957.05 × 1,986.49
  4. Step 4: Simplify right side
    2,142.31x = 5,874,150.25
  5. Step 5: Solve for x
    x = 5,874,150.25/2,142.31
  6. Step 6: Final answer
    x = 2,741.97

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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.