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Finding the Fourth Proportional to 2,843.65, 3,924.56 and 1,664.70

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Solution

The fourth proportional to 2,843.65, 3,924.56 and 1,664.70 is: 2,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.65 : 3,924.56 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    2,843.65/3,924.56 = 1,664.70/x
  3. Step 3: Cross multiply
    2,843.65x = 3,924.56 × 1,664.70
  4. Step 4: Simplify right side
    2,843.65x = 6,533,215.03
  5. Step 5: Solve for x
    x = 6,533,215.03/2,843.65
  6. Step 6: Final answer
    x = 2,297.48

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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.