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Finding the Fourth Proportional to 2,814.88, 3,881.91 and 2,226.82

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Solution

The fourth proportional to 2,814.88, 3,881.91 and 2,226.82 is: 3,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.88 : 3,881.91 = 2,226.82 : x
  2. Step 2: Convert to fraction form
    2,814.88/3,881.91 = 2,226.82/x
  3. Step 3: Cross multiply
    2,814.88x = 3,881.91 × 2,226.82
  4. Step 4: Simplify right side
    2,814.88x = 8,644,314.83
  5. Step 5: Solve for x
    x = 8,644,314.83/2,814.88
  6. Step 6: Final answer
    x = 3,070.94

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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.