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Finding the Fourth Proportional to 2,821.68, 3,892.95 and 1,643.13

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Solution

The fourth proportional to 2,821.68, 3,892.95 and 1,643.13 is: 2,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.68 : 3,892.95 = 1,643.13 : x
  2. Step 2: Convert to fraction form
    2,821.68/3,892.95 = 1,643.13/x
  3. Step 3: Cross multiply
    2,821.68x = 3,892.95 × 1,643.13
  4. Step 4: Simplify right side
    2,821.68x = 6,396,622.93
  5. Step 5: Solve for x
    x = 6,396,622.93/2,821.68
  6. Step 6: Final answer
    x = 2,266.96

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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.