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Finding the Fourth Proportional to 2,965.74, 4,449.63 and 1,323.42

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Solution

The fourth proportional to 2,965.74, 4,449.63 and 1,323.42 is: 1,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.74 : 4,449.63 = 1,323.42 : x
  2. Step 2: Convert to fraction form
    2,965.74/4,449.63 = 1,323.42/x
  3. Step 3: Cross multiply
    2,965.74x = 4,449.63 × 1,323.42
  4. Step 4: Simplify right side
    2,965.74x = 5,888,729.33
  5. Step 5: Solve for x
    x = 5,888,729.33/2,965.74
  6. Step 6: Final answer
    x = 1,985.59

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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.