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Finding the Fourth Proportional to 1,920.87, 2,879.01 and 1,099.71

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Solution

The fourth proportional to 1,920.87, 2,879.01 and 1,099.71 is: 1,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.87 : 2,879.01 = 1,099.71 : x
  2. Step 2: Convert to fraction form
    1,920.87/2,879.01 = 1,099.71/x
  3. Step 3: Cross multiply
    1,920.87x = 2,879.01 × 1,099.71
  4. Step 4: Simplify right side
    1,920.87x = 3,166,076.09
  5. Step 5: Solve for x
    x = 3,166,076.09/1,920.87
  6. Step 6: Final answer
    x = 1,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.