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Finding the Fourth Proportional to 3,100.70, 4,647.11 and 1,453.62

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Solution

The fourth proportional to 3,100.70, 4,647.11 and 1,453.62 is: 2,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.70 : 4,647.11 = 1,453.62 : x
  2. Step 2: Convert to fraction form
    3,100.70/4,647.11 = 1,453.62/x
  3. Step 3: Cross multiply
    3,100.70x = 4,647.11 × 1,453.62
  4. Step 4: Simplify right side
    3,100.70x = 6,755,142.20
  5. Step 5: Solve for x
    x = 6,755,142.20/3,100.70
  6. Step 6: Final answer
    x = 2,178.58

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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.