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Finding the Fourth Proportional to 2,123.78, 2,930.75 and 1,179.56

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Solution

The fourth proportional to 2,123.78, 2,930.75 and 1,179.56 is: 1,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 2,930.75 = 1,179.56 : x
  2. Step 2: Convert to fraction form
    2,123.78/2,930.75 = 1,179.56/x
  3. Step 3: Cross multiply
    2,123.78x = 2,930.75 × 1,179.56
  4. Step 4: Simplify right side
    2,123.78x = 3,456,974.92
  5. Step 5: Solve for x
    x = 3,456,974.92/2,123.78
  6. Step 6: Final answer
    x = 1,627.75

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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.