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Finding the Fourth Proportional to 2,123.43, 2,930.09 and 1,179.14

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Solution

The fourth proportional to 2,123.43, 2,930.09 and 1,179.14 is: 1,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.43 : 2,930.09 = 1,179.14 : x
  2. Step 2: Convert to fraction form
    2,123.43/2,930.09 = 1,179.14/x
  3. Step 3: Cross multiply
    2,123.43x = 2,930.09 × 1,179.14
  4. Step 4: Simplify right side
    2,123.43x = 3,454,988.89
  5. Step 5: Solve for x
    x = 3,454,988.89/2,123.43
  6. Step 6: Final answer
    x = 1,627.08

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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.