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Finding the Fourth Proportional to 2,722.60, 4,083.94 and 774.85

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Solution

The fourth proportional to 2,722.60, 4,083.94 and 774.85 is: 1,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.60 : 4,083.94 = 774.85 : x
  2. Step 2: Convert to fraction form
    2,722.60/4,083.94 = 774.85/x
  3. Step 3: Cross multiply
    2,722.60x = 4,083.94 × 774.85
  4. Step 4: Simplify right side
    2,722.60x = 3,164,440.91
  5. Step 5: Solve for x
    x = 3,164,440.91/2,722.60
  6. Step 6: Final answer
    x = 1,162.29

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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.