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Finding the Fourth Proportional to 1,843.39, 2,771.16 and 1,708.12

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Solution

The fourth proportional to 1,843.39, 2,771.16 and 1,708.12 is: 2,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.39 : 2,771.16 = 1,708.12 : x
  2. Step 2: Convert to fraction form
    1,843.39/2,771.16 = 1,708.12/x
  3. Step 3: Cross multiply
    1,843.39x = 2,771.16 × 1,708.12
  4. Step 4: Simplify right side
    1,843.39x = 4,733,473.82
  5. Step 5: Solve for x
    x = 4,733,473.82/1,843.39
  6. Step 6: Final answer
    x = 2,567.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.