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Finding the Fourth Proportional to 1,921.75, 2,882.70 and 1,099.65

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Solution

The fourth proportional to 1,921.75, 2,882.70 and 1,099.65 is: 1,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.75 : 2,882.70 = 1,099.65 : x
  2. Step 2: Convert to fraction form
    1,921.75/2,882.70 = 1,099.65/x
  3. Step 3: Cross multiply
    1,921.75x = 2,882.70 × 1,099.65
  4. Step 4: Simplify right side
    1,921.75x = 3,169,961.06
  5. Step 5: Solve for x
    x = 3,169,961.06/1,921.75
  6. Step 6: Final answer
    x = 1,649.52

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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.