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Finding the Fourth Proportional to 2,266.66, 3,397.56 and 1,170.73

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Solution

The fourth proportional to 2,266.66, 3,397.56 and 1,170.73 is: 1,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.66 : 3,397.56 = 1,170.73 : x
  2. Step 2: Convert to fraction form
    2,266.66/3,397.56 = 1,170.73/x
  3. Step 3: Cross multiply
    2,266.66x = 3,397.56 × 1,170.73
  4. Step 4: Simplify right side
    2,266.66x = 3,977,625.42
  5. Step 5: Solve for x
    x = 3,977,625.42/2,266.66
  6. Step 6: Final answer
    x = 1,754.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.