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Finding the Fourth Proportional to 2,822.33, 3,894.85 and 1,643.51

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Solution

The fourth proportional to 2,822.33, 3,894.85 and 1,643.51 is: 2,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.33 : 3,894.85 = 1,643.51 : x
  2. Step 2: Convert to fraction form
    2,822.33/3,894.85 = 1,643.51/x
  3. Step 3: Cross multiply
    2,822.33x = 3,894.85 × 1,643.51
  4. Step 4: Simplify right side
    2,822.33x = 6,401,236.72
  5. Step 5: Solve for x
    x = 6,401,236.72/2,822.33
  6. Step 6: Final answer
    x = 2,268.07

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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.