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Finding the Fourth Proportional to 3,344.94, 4,617 and 2,166.09

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Solution

The fourth proportional to 3,344.94, 4,617 and 2,166.09 is: 2,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.94 : 4,617 = 2,166.09 : x
  2. Step 2: Convert to fraction form
    3,344.94/4,617 = 2,166.09/x
  3. Step 3: Cross multiply
    3,344.94x = 4,617 × 2,166.09
  4. Step 4: Simplify right side
    3,344.94x = 10,000,837.53
  5. Step 5: Solve for x
    x = 10,000,837.53/3,344.94
  6. Step 6: Final answer
    x = 2,989.84

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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.