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Finding the Fourth Proportional to 2,224.24, 3,326.64 and 1,816

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Solution

The fourth proportional to 2,224.24, 3,326.64 and 1,816 is: 2,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.24 : 3,326.64 = 1,816 : x
  2. Step 2: Convert to fraction form
    2,224.24/3,326.64 = 1,816/x
  3. Step 3: Cross multiply
    2,224.24x = 3,326.64 × 1,816
  4. Step 4: Simplify right side
    2,224.24x = 6,041,178.24
  5. Step 5: Solve for x
    x = 6,041,178.24/2,224.24
  6. Step 6: Final answer
    x = 2,716.06

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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.