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Finding the Fourth Proportional to 3,394.54, 4,680.66 and 2,134.04

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Solution

The fourth proportional to 3,394.54, 4,680.66 and 2,134.04 is: 2,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.54 : 4,680.66 = 2,134.04 : x
  2. Step 2: Convert to fraction form
    3,394.54/4,680.66 = 2,134.04/x
  3. Step 3: Cross multiply
    3,394.54x = 4,680.66 × 2,134.04
  4. Step 4: Simplify right side
    3,394.54x = 9,988,715.67
  5. Step 5: Solve for x
    x = 9,988,715.67/3,394.54
  6. Step 6: Final answer
    x = 2,942.58

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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.