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Finding the Fourth Proportional to 2,012.12, 2,777.07 and 1,266.31

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Solution

The fourth proportional to 2,012.12, 2,777.07 and 1,266.31 is: 1,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.12 : 2,777.07 = 1,266.31 : x
  2. Step 2: Convert to fraction form
    2,012.12/2,777.07 = 1,266.31/x
  3. Step 3: Cross multiply
    2,012.12x = 2,777.07 × 1,266.31
  4. Step 4: Simplify right side
    2,012.12x = 3,516,631.51
  5. Step 5: Solve for x
    x = 3,516,631.51/2,012.12
  6. Step 6: Final answer
    x = 1,747.73

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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.