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Finding the Fourth Proportional to 2,965.69, 4,449.08 and 991.13

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Solution

The fourth proportional to 2,965.69, 4,449.08 and 991.13 is: 1,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.69 : 4,449.08 = 991.13 : x
  2. Step 2: Convert to fraction form
    2,965.69/4,449.08 = 991.13/x
  3. Step 3: Cross multiply
    2,965.69x = 4,449.08 × 991.13
  4. Step 4: Simplify right side
    2,965.69x = 4,409,626.54
  5. Step 5: Solve for x
    x = 4,409,626.54/2,965.69
  6. Step 6: Final answer
    x = 1,486.88

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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.