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Finding the Fourth Proportional to 2,764.26, 3,810.60 and 2,266.11

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Solution

The fourth proportional to 2,764.26, 3,810.60 and 2,266.11 is: 3,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.26 : 3,810.60 = 2,266.11 : x
  2. Step 2: Convert to fraction form
    2,764.26/3,810.60 = 2,266.11/x
  3. Step 3: Cross multiply
    2,764.26x = 3,810.60 × 2,266.11
  4. Step 4: Simplify right side
    2,764.26x = 8,635,238.77
  5. Step 5: Solve for x
    x = 8,635,238.77/2,764.26
  6. Step 6: Final answer
    x = 3,123.89

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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.