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Finding the Fourth Proportional to 3,116.62, 4,298.51 and 1,997.67

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Solution

The fourth proportional to 3,116.62, 4,298.51 and 1,997.67 is: 2,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.62 : 4,298.51 = 1,997.67 : x
  2. Step 2: Convert to fraction form
    3,116.62/4,298.51 = 1,997.67/x
  3. Step 3: Cross multiply
    3,116.62x = 4,298.51 × 1,997.67
  4. Step 4: Simplify right side
    3,116.62x = 8,587,004.47
  5. Step 5: Solve for x
    x = 8,587,004.47/3,116.62
  6. Step 6: Final answer
    x = 2,755.23

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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.