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Finding the Fourth Proportional to 2,160.27, 2,989.31 and 2,123.82

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Solution

The fourth proportional to 2,160.27, 2,989.31 and 2,123.82 is: 2,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.27 : 2,989.31 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    2,160.27/2,989.31 = 2,123.82/x
  3. Step 3: Cross multiply
    2,160.27x = 2,989.31 × 2,123.82
  4. Step 4: Simplify right side
    2,160.27x = 6,348,745.75
  5. Step 5: Solve for x
    x = 6,348,745.75/2,160.27
  6. Step 6: Final answer
    x = 2,938.87

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Why These Related Problems?

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