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Finding the Fourth Proportional to 2,843.57, 3,924.16 and 1,664.69

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Solution

The fourth proportional to 2,843.57, 3,924.16 and 1,664.69 is: 2,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.57 : 3,924.16 = 1,664.69 : x
  2. Step 2: Convert to fraction form
    2,843.57/3,924.16 = 1,664.69/x
  3. Step 3: Cross multiply
    2,843.57x = 3,924.16 × 1,664.69
  4. Step 4: Simplify right side
    2,843.57x = 6,532,486.13
  5. Step 5: Solve for x
    x = 6,532,486.13/2,843.57
  6. Step 6: Final answer
    x = 2,297.28

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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.