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Finding the Fourth Proportional to 3,165.67, 4,361.49 and 2,207.68

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Solution

The fourth proportional to 3,165.67, 4,361.49 and 2,207.68 is: 3,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.67 : 4,361.49 = 2,207.68 : x
  2. Step 2: Convert to fraction form
    3,165.67/4,361.49 = 2,207.68/x
  3. Step 3: Cross multiply
    3,165.67x = 4,361.49 × 2,207.68
  4. Step 4: Simplify right side
    3,165.67x = 9,628,774.24
  5. Step 5: Solve for x
    x = 9,628,774.24/3,165.67
  6. Step 6: Final answer
    x = 3,041.62

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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.