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Finding the Fourth Proportional to 2,061.46, 3,093.20 and 965.90

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Solution

The fourth proportional to 2,061.46, 3,093.20 and 965.90 is: 1,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.46 : 3,093.20 = 965.90 : x
  2. Step 2: Convert to fraction form
    2,061.46/3,093.20 = 965.90/x
  3. Step 3: Cross multiply
    2,061.46x = 3,093.20 × 965.90
  4. Step 4: Simplify right side
    2,061.46x = 2,987,721.88
  5. Step 5: Solve for x
    x = 2,987,721.88/2,061.46
  6. Step 6: Final answer
    x = 1,449.32

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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.