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Finding the Fourth Proportional to 2,843.29, 3,923.14 and 1,648.21

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Solution

The fourth proportional to 2,843.29, 3,923.14 and 1,648.21 is: 2,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.29 : 3,923.14 = 1,648.21 : x
  2. Step 2: Convert to fraction form
    2,843.29/3,923.14 = 1,648.21/x
  3. Step 3: Cross multiply
    2,843.29x = 3,923.14 × 1,648.21
  4. Step 4: Simplify right side
    2,843.29x = 6,466,158.58
  5. Step 5: Solve for x
    x = 6,466,158.58/2,843.29
  6. Step 6: Final answer
    x = 2,274.18

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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.