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Finding the Fourth Proportional to 2,242.36, 3,357.24 and 1,144.36

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Solution

The fourth proportional to 2,242.36, 3,357.24 and 1,144.36 is: 1,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.36 : 3,357.24 = 1,144.36 : x
  2. Step 2: Convert to fraction form
    2,242.36/3,357.24 = 1,144.36/x
  3. Step 3: Cross multiply
    2,242.36x = 3,357.24 × 1,144.36
  4. Step 4: Simplify right side
    2,242.36x = 3,841,891.17
  5. Step 5: Solve for x
    x = 3,841,891.17/2,242.36
  6. Step 6: Final answer
    x = 1,713.32

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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.