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Finding the Fourth Proportional to 2,666.25, 3,679.83 and 1,618.11

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Solution

The fourth proportional to 2,666.25, 3,679.83 and 1,618.11 is: 2,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.25 : 3,679.83 = 1,618.11 : x
  2. Step 2: Convert to fraction form
    2,666.25/3,679.83 = 1,618.11/x
  3. Step 3: Cross multiply
    2,666.25x = 3,679.83 × 1,618.11
  4. Step 4: Simplify right side
    2,666.25x = 5,954,369.72
  5. Step 5: Solve for x
    x = 5,954,369.72/2,666.25
  6. Step 6: Final answer
    x = 2,233.24

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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.