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Finding the Fourth Proportional to 3,102.10, 4,658.55 and 1,644.10

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Solution

The fourth proportional to 3,102.10, 4,658.55 and 1,644.10 is: 2,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.10 : 4,658.55 = 1,644.10 : x
  2. Step 2: Convert to fraction form
    3,102.10/4,658.55 = 1,644.10/x
  3. Step 3: Cross multiply
    3,102.10x = 4,658.55 × 1,644.10
  4. Step 4: Simplify right side
    3,102.10x = 7,659,122.06
  5. Step 5: Solve for x
    x = 7,659,122.06/3,102.10
  6. Step 6: Final answer
    x = 2,469.01

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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.