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Finding the Fourth Proportional to 4,112.70, 6,166.49 and 1,647.90

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Solution

The fourth proportional to 4,112.70, 6,166.49 and 1,647.90 is: 2,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.70 : 6,166.49 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    4,112.70/6,166.49 = 1,647.90/x
  3. Step 3: Cross multiply
    4,112.70x = 6,166.49 × 1,647.90
  4. Step 4: Simplify right side
    4,112.70x = 10,161,758.87
  5. Step 5: Solve for x
    x = 10,161,758.87/4,112.70
  6. Step 6: Final answer
    x = 2,470.82

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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.