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Finding the Fourth Proportional to 3,108.94, 4,662.04 and 1,647.76

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Solution

The fourth proportional to 3,108.94, 4,662.04 and 1,647.76 is: 2,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.94 : 4,662.04 = 1,647.76 : x
  2. Step 2: Convert to fraction form
    3,108.94/4,662.04 = 1,647.76/x
  3. Step 3: Cross multiply
    3,108.94x = 4,662.04 × 1,647.76
  4. Step 4: Simplify right side
    3,108.94x = 7,681,923.03
  5. Step 5: Solve for x
    x = 7,681,923.03/3,108.94
  6. Step 6: Final answer
    x = 2,470.91

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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.