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Finding the Fourth Proportional to 2,206, 3,044.36 and 1,261.96

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Solution

The fourth proportional to 2,206, 3,044.36 and 1,261.96 is: 1,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 3,044.36 = 1,261.96 : x
  2. Step 2: Convert to fraction form
    2,206/3,044.36 = 1,261.96/x
  3. Step 3: Cross multiply
    2,206x = 3,044.36 × 1,261.96
  4. Step 4: Simplify right side
    2,206x = 3,841,860.55
  5. Step 5: Solve for x
    x = 3,841,860.55/2,206
  6. Step 6: Final answer
    x = 1,741.55

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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.