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Finding the Fourth Proportional to 2,119.52, 3,180.96 and 965.44

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Solution

The fourth proportional to 2,119.52, 3,180.96 and 965.44 is: 1,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.52 : 3,180.96 = 965.44 : x
  2. Step 2: Convert to fraction form
    2,119.52/3,180.96 = 965.44/x
  3. Step 3: Cross multiply
    2,119.52x = 3,180.96 × 965.44
  4. Step 4: Simplify right side
    2,119.52x = 3,071,026.02
  5. Step 5: Solve for x
    x = 3,071,026.02/2,119.52
  6. Step 6: Final answer
    x = 1,448.93

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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.