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Finding the Fourth Proportional to 2,199.25, 3,297.69 and 965.21

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Solution

The fourth proportional to 2,199.25, 3,297.69 and 965.21 is: 1,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.25 : 3,297.69 = 965.21 : x
  2. Step 2: Convert to fraction form
    2,199.25/3,297.69 = 965.21/x
  3. Step 3: Cross multiply
    2,199.25x = 3,297.69 × 965.21
  4. Step 4: Simplify right side
    2,199.25x = 3,182,971.61
  5. Step 5: Solve for x
    x = 3,182,971.61/2,199.25
  6. Step 6: Final answer
    x = 1,447.30

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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.