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Finding the Fourth Proportional to 1,676.64, 2,503.67 and 1,369.09

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Solution

The fourth proportional to 1,676.64, 2,503.67 and 1,369.09 is: 2,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.64 : 2,503.67 = 1,369.09 : x
  2. Step 2: Convert to fraction form
    1,676.64/2,503.67 = 1,369.09/x
  3. Step 3: Cross multiply
    1,676.64x = 2,503.67 × 1,369.09
  4. Step 4: Simplify right side
    1,676.64x = 3,427,749.56
  5. Step 5: Solve for x
    x = 3,427,749.56/1,676.64
  6. Step 6: Final answer
    x = 2,044.42

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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.