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Finding the Fourth Proportional to 2,165.27, 2,986.54 and 2,092.94

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Solution

The fourth proportional to 2,165.27, 2,986.54 and 2,092.94 is: 2,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.27 : 2,986.54 = 2,092.94 : x
  2. Step 2: Convert to fraction form
    2,165.27/2,986.54 = 2,092.94/x
  3. Step 3: Cross multiply
    2,165.27x = 2,986.54 × 2,092.94
  4. Step 4: Simplify right side
    2,165.27x = 6,250,640.06
  5. Step 5: Solve for x
    x = 6,250,640.06/2,165.27
  6. Step 6: Final answer
    x = 2,886.78

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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.