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Finding the Fourth Proportional to 2,197.64, 3,283.11 and 1,676.18

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Solution

The fourth proportional to 2,197.64, 3,283.11 and 1,676.18 is: 2,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.64 : 3,283.11 = 1,676.18 : x
  2. Step 2: Convert to fraction form
    2,197.64/3,283.11 = 1,676.18/x
  3. Step 3: Cross multiply
    2,197.64x = 3,283.11 × 1,676.18
  4. Step 4: Simplify right side
    2,197.64x = 5,503,091.53
  5. Step 5: Solve for x
    x = 5,503,091.53/2,197.64
  6. Step 6: Final answer
    x = 2,504.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.