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Finding the Fourth Proportional to 2,061.28, 3,092.07 and 762.75

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Solution

The fourth proportional to 2,061.28, 3,092.07 and 762.75 is: 1,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.28 : 3,092.07 = 762.75 : x
  2. Step 2: Convert to fraction form
    2,061.28/3,092.07 = 762.75/x
  3. Step 3: Cross multiply
    2,061.28x = 3,092.07 × 762.75
  4. Step 4: Simplify right side
    2,061.28x = 2,358,479.25
  5. Step 5: Solve for x
    x = 2,358,479.25/2,061.28
  6. Step 6: Final answer
    x = 1,144.18

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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.