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Finding the Fourth Proportional to 2,123.76, 2,930.68 and 1,179.54

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Solution

The fourth proportional to 2,123.76, 2,930.68 and 1,179.54 is: 1,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.76 : 2,930.68 = 1,179.54 : x
  2. Step 2: Convert to fraction form
    2,123.76/2,930.68 = 1,179.54/x
  3. Step 3: Cross multiply
    2,123.76x = 2,930.68 × 1,179.54
  4. Step 4: Simplify right side
    2,123.76x = 3,456,854.29
  5. Step 5: Solve for x
    x = 3,456,854.29/2,123.76
  6. Step 6: Final answer
    x = 1,627.70

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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.