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Finding the Fourth Proportional to 2,964.78, 4,091.62 and 1,706.22

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Solution

The fourth proportional to 2,964.78, 4,091.62 and 1,706.22 is: 2,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.78 : 4,091.62 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    2,964.78/4,091.62 = 1,706.22/x
  3. Step 3: Cross multiply
    2,964.78x = 4,091.62 × 1,706.22
  4. Step 4: Simplify right side
    2,964.78x = 6,981,203.88
  5. Step 5: Solve for x
    x = 6,981,203.88/2,964.78
  6. Step 6: Final answer
    x = 2,354.71

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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.