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Finding the Fourth Proportional to 2,621.73, 3,933.17 and 866.66

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Solution

The fourth proportional to 2,621.73, 3,933.17 and 866.66 is: 1,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.73 : 3,933.17 = 866.66 : x
  2. Step 2: Convert to fraction form
    2,621.73/3,933.17 = 866.66/x
  3. Step 3: Cross multiply
    2,621.73x = 3,933.17 × 866.66
  4. Step 4: Simplify right side
    2,621.73x = 3,408,697.11
  5. Step 5: Solve for x
    x = 3,408,697.11/2,621.73
  6. Step 6: Final answer
    x = 1,300.17

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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.