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Finding the Fourth Proportional to 2,664.49, 3,990.93 and 2,197.02

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Solution

The fourth proportional to 2,664.49, 3,990.93 and 2,197.02 is: 3,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.49 : 3,990.93 = 2,197.02 : x
  2. Step 2: Convert to fraction form
    2,664.49/3,990.93 = 2,197.02/x
  3. Step 3: Cross multiply
    2,664.49x = 3,990.93 × 2,197.02
  4. Step 4: Simplify right side
    2,664.49x = 8,768,142.04
  5. Step 5: Solve for x
    x = 8,768,142.04/2,664.49
  6. Step 6: Final answer
    x = 3,290.74

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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.