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Finding the Fourth Proportional to 1,957.92, 2,702.16 and 1,171.97

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Solution

The fourth proportional to 1,957.92, 2,702.16 and 1,171.97 is: 1,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.92 : 2,702.16 = 1,171.97 : x
  2. Step 2: Convert to fraction form
    1,957.92/2,702.16 = 1,171.97/x
  3. Step 3: Cross multiply
    1,957.92x = 2,702.16 × 1,171.97
  4. Step 4: Simplify right side
    1,957.92x = 3,166,847.08
  5. Step 5: Solve for x
    x = 3,166,847.08/1,957.92
  6. Step 6: Final answer
    x = 1,617.45

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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.