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Finding the Fourth Proportional to 2,149.74, 2,967.44 and 1,266.03

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Solution

The fourth proportional to 2,149.74, 2,967.44 and 1,266.03 is: 1,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.74 : 2,967.44 = 1,266.03 : x
  2. Step 2: Convert to fraction form
    2,149.74/2,967.44 = 1,266.03/x
  3. Step 3: Cross multiply
    2,149.74x = 2,967.44 × 1,266.03
  4. Step 4: Simplify right side
    2,149.74x = 3,756,861.73
  5. Step 5: Solve for x
    x = 3,756,861.73/2,149.74
  6. Step 6: Final answer
    x = 1,747.59

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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.