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Finding the Fourth Proportional to 2,116.62, 3,174.21 and 1,076.22

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Solution

The fourth proportional to 2,116.62, 3,174.21 and 1,076.22 is: 1,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.62 : 3,174.21 = 1,076.22 : x
  2. Step 2: Convert to fraction form
    2,116.62/3,174.21 = 1,076.22/x
  3. Step 3: Cross multiply
    2,116.62x = 3,174.21 × 1,076.22
  4. Step 4: Simplify right side
    2,116.62x = 3,416,148.29
  5. Step 5: Solve for x
    x = 3,416,148.29/2,116.62
  6. Step 6: Final answer
    x = 1,613.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.