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Finding the Fourth Proportional to 2,816.99, 4,224.11 and 1,647.29

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Solution

The fourth proportional to 2,816.99, 4,224.11 and 1,647.29 is: 2,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.99 : 4,224.11 = 1,647.29 : x
  2. Step 2: Convert to fraction form
    2,816.99/4,224.11 = 1,647.29/x
  3. Step 3: Cross multiply
    2,816.99x = 4,224.11 × 1,647.29
  4. Step 4: Simplify right side
    2,816.99x = 6,958,336.49
  5. Step 5: Solve for x
    x = 6,958,336.49/2,816.99
  6. Step 6: Final answer
    x = 2,470.13

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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.