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Finding the Fourth Proportional to 2,266.01, 3,127.26 and 1,257.77

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Solution

The fourth proportional to 2,266.01, 3,127.26 and 1,257.77 is: 1,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.01 : 3,127.26 = 1,257.77 : x
  2. Step 2: Convert to fraction form
    2,266.01/3,127.26 = 1,257.77/x
  3. Step 3: Cross multiply
    2,266.01x = 3,127.26 × 1,257.77
  4. Step 4: Simplify right side
    2,266.01x = 3,933,379.27
  5. Step 5: Solve for x
    x = 3,933,379.27/2,266.01
  6. Step 6: Final answer
    x = 1,735.81

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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.