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Finding the Fourth Proportional to 2,023.10, 2,792 and 1,138.96

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Solution

The fourth proportional to 2,023.10, 2,792 and 1,138.96 is: 1,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.10 : 2,792 = 1,138.96 : x
  2. Step 2: Convert to fraction form
    2,023.10/2,792 = 1,138.96/x
  3. Step 3: Cross multiply
    2,023.10x = 2,792 × 1,138.96
  4. Step 4: Simplify right side
    2,023.10x = 3,179,976.32
  5. Step 5: Solve for x
    x = 3,179,976.32/2,023.10
  6. Step 6: Final answer
    x = 1,571.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.