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Finding the Fourth Proportional to 2,224.12, 3,333.94 and 1,069.24

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Solution

The fourth proportional to 2,224.12, 3,333.94 and 1,069.24 is: 1,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.12 : 3,333.94 = 1,069.24 : x
  2. Step 2: Convert to fraction form
    2,224.12/3,333.94 = 1,069.24/x
  3. Step 3: Cross multiply
    2,224.12x = 3,333.94 × 1,069.24
  4. Step 4: Simplify right side
    2,224.12x = 3,564,782.01
  5. Step 5: Solve for x
    x = 3,564,782.01/2,224.12
  6. Step 6: Final answer
    x = 1,602.78

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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.