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Finding the Fourth Proportional to 2,822.32, 3,894.44 and 1,643.56

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Solution

The fourth proportional to 2,822.32, 3,894.44 and 1,643.56 is: 2,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.32 : 3,894.44 = 1,643.56 : x
  2. Step 2: Convert to fraction form
    2,822.32/3,894.44 = 1,643.56/x
  3. Step 3: Cross multiply
    2,822.32x = 3,894.44 × 1,643.56
  4. Step 4: Simplify right side
    2,822.32x = 6,400,745.81
  5. Step 5: Solve for x
    x = 6,400,745.81/2,822.32
  6. Step 6: Final answer
    x = 2,267.90

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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.