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Finding the Fourth Proportional to 2,843.93, 3,924.93 and 1,665.99

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Solution

The fourth proportional to 2,843.93, 3,924.93 and 1,665.99 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.93 : 3,924.93 = 1,665.99 : x
  2. Step 2: Convert to fraction form
    2,843.93/3,924.93 = 1,665.99/x
  3. Step 3: Cross multiply
    2,843.93x = 3,924.93 × 1,665.99
  4. Step 4: Simplify right side
    2,843.93x = 6,538,894.13
  5. Step 5: Solve for x
    x = 6,538,894.13/2,843.93
  6. Step 6: Final answer
    x = 2,299.25

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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.