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Finding the Fourth Proportional to 2,771.68, 4,162.22 and 1,853.14

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Solution

The fourth proportional to 2,771.68, 4,162.22 and 1,853.14 is: 2,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.68 : 4,162.22 = 1,853.14 : x
  2. Step 2: Convert to fraction form
    2,771.68/4,162.22 = 1,853.14/x
  3. Step 3: Cross multiply
    2,771.68x = 4,162.22 × 1,853.14
  4. Step 4: Simplify right side
    2,771.68x = 7,713,146.29
  5. Step 5: Solve for x
    x = 7,713,146.29/2,771.68
  6. Step 6: Final answer
    x = 2,782.85

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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.