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Finding the Fourth Proportional to 3,103.70, 4,647.45 and 2,002.10

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Solution

The fourth proportional to 3,103.70, 4,647.45 and 2,002.10 is: 2,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.70 : 4,647.45 = 2,002.10 : x
  2. Step 2: Convert to fraction form
    3,103.70/4,647.45 = 2,002.10/x
  3. Step 3: Cross multiply
    3,103.70x = 4,647.45 × 2,002.10
  4. Step 4: Simplify right side
    3,103.70x = 9,304,659.65
  5. Step 5: Solve for x
    x = 9,304,659.65/3,103.70
  6. Step 6: Final answer
    x = 2,997.92

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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.