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Finding the Fourth Proportional to 2,785.01, 3,843.20 and 1,665.29

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Solution

The fourth proportional to 2,785.01, 3,843.20 and 1,665.29 is: 2,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.01 : 3,843.20 = 1,665.29 : x
  2. Step 2: Convert to fraction form
    2,785.01/3,843.20 = 1,665.29/x
  3. Step 3: Cross multiply
    2,785.01x = 3,843.20 × 1,665.29
  4. Step 4: Simplify right side
    2,785.01x = 6,400,019.15
  5. Step 5: Solve for x
    x = 6,400,019.15/2,785.01
  6. Step 6: Final answer
    x = 2,298.03

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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.