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Finding the Fourth Proportional to 2,073.87, 3,109.73 and 774.27

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Solution

The fourth proportional to 2,073.87, 3,109.73 and 774.27 is: 1,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.87 : 3,109.73 = 774.27 : x
  2. Step 2: Convert to fraction form
    2,073.87/3,109.73 = 774.27/x
  3. Step 3: Cross multiply
    2,073.87x = 3,109.73 × 774.27
  4. Step 4: Simplify right side
    2,073.87x = 2,407,766.78
  5. Step 5: Solve for x
    x = 2,407,766.78/2,073.87
  6. Step 6: Final answer
    x = 1,161.00

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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.