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Finding the Fourth Proportional to 2,123.78, 2,930.67 and 1,179.49

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Solution

The fourth proportional to 2,123.78, 2,930.67 and 1,179.49 is: 1,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 2,930.67 = 1,179.49 : x
  2. Step 2: Convert to fraction form
    2,123.78/2,930.67 = 1,179.49/x
  3. Step 3: Cross multiply
    2,123.78x = 2,930.67 × 1,179.49
  4. Step 4: Simplify right side
    2,123.78x = 3,456,704.04
  5. Step 5: Solve for x
    x = 3,456,704.04/2,123.78
  6. Step 6: Final answer
    x = 1,627.62

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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.