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Finding the Fourth Proportional to 2,199.36, 3,294.80 and 1,965.68

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Solution

The fourth proportional to 2,199.36, 3,294.80 and 1,965.68 is: 2,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.36 : 3,294.80 = 1,965.68 : x
  2. Step 2: Convert to fraction form
    2,199.36/3,294.80 = 1,965.68/x
  3. Step 3: Cross multiply
    2,199.36x = 3,294.80 × 1,965.68
  4. Step 4: Simplify right side
    2,199.36x = 6,476,522.46
  5. Step 5: Solve for x
    x = 6,476,522.46/2,199.36
  6. Step 6: Final answer
    x = 2,944.73

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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.