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Finding the Fourth Proportional to 1,921.22, 2,882.39 and 767.14

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Solution

The fourth proportional to 1,921.22, 2,882.39 and 767.14 is: 1,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.22 : 2,882.39 = 767.14 : x
  2. Step 2: Convert to fraction form
    1,921.22/2,882.39 = 767.14/x
  3. Step 3: Cross multiply
    1,921.22x = 2,882.39 × 767.14
  4. Step 4: Simplify right side
    1,921.22x = 2,211,196.66
  5. Step 5: Solve for x
    x = 2,211,196.66/1,921.22
  6. Step 6: Final answer
    x = 1,150.93

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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.