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Finding the Fourth Proportional to 2,123.81, 2,930.76 and 1,179.66

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Solution

The fourth proportional to 2,123.81, 2,930.76 and 1,179.66 is: 1,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.81 : 2,930.76 = 1,179.66 : x
  2. Step 2: Convert to fraction form
    2,123.81/2,930.76 = 1,179.66/x
  3. Step 3: Cross multiply
    2,123.81x = 2,930.76 × 1,179.66
  4. Step 4: Simplify right side
    2,123.81x = 3,457,299.77
  5. Step 5: Solve for x
    x = 3,457,299.77/2,123.81
  6. Step 6: Final answer
    x = 1,627.88

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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.