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Finding the Fourth Proportional to 2,805.14, 3,871.12 and 1,626.42

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Solution

The fourth proportional to 2,805.14, 3,871.12 and 1,626.42 is: 2,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.14 : 3,871.12 = 1,626.42 : x
  2. Step 2: Convert to fraction form
    2,805.14/3,871.12 = 1,626.42/x
  3. Step 3: Cross multiply
    2,805.14x = 3,871.12 × 1,626.42
  4. Step 4: Simplify right side
    2,805.14x = 6,296,066.99
  5. Step 5: Solve for x
    x = 6,296,066.99/2,805.14
  6. Step 6: Final answer
    x = 2,244.48

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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.