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Finding the Fourth Proportional to 3,408.70, 4,704.04 and 1,916.64

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Solution

The fourth proportional to 3,408.70, 4,704.04 and 1,916.64 is: 2,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.70 : 4,704.04 = 1,916.64 : x
  2. Step 2: Convert to fraction form
    3,408.70/4,704.04 = 1,916.64/x
  3. Step 3: Cross multiply
    3,408.70x = 4,704.04 × 1,916.64
  4. Step 4: Simplify right side
    3,408.70x = 9,015,951.23
  5. Step 5: Solve for x
    x = 9,015,951.23/3,408.70
  6. Step 6: Final answer
    x = 2,644.98

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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.