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Finding the Fourth Proportional to 2,123.82, 3,169.53 and 2,096.28

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Solution

The fourth proportional to 2,123.82, 3,169.53 and 2,096.28 is: 3,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.82 : 3,169.53 = 2,096.28 : x
  2. Step 2: Convert to fraction form
    2,123.82/3,169.53 = 2,096.28/x
  3. Step 3: Cross multiply
    2,123.82x = 3,169.53 × 2,096.28
  4. Step 4: Simplify right side
    2,123.82x = 6,644,222.35
  5. Step 5: Solve for x
    x = 6,644,222.35/2,123.82
  6. Step 6: Final answer
    x = 3,128.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.