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Finding the Fourth Proportional to 3,164.82, 4,363.35 and 2,168.31

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Solution

The fourth proportional to 3,164.82, 4,363.35 and 2,168.31 is: 2,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.82 : 4,363.35 = 2,168.31 : x
  2. Step 2: Convert to fraction form
    3,164.82/4,363.35 = 2,168.31/x
  3. Step 3: Cross multiply
    3,164.82x = 4,363.35 × 2,168.31
  4. Step 4: Simplify right side
    3,164.82x = 9,461,103.67
  5. Step 5: Solve for x
    x = 9,461,103.67/3,164.82
  6. Step 6: Final answer
    x = 2,989.46

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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.