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Finding the Fourth Proportional to 2,238.56, 3,089.08 and 1,243.82

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Solution

The fourth proportional to 2,238.56, 3,089.08 and 1,243.82 is: 1,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.56 : 3,089.08 = 1,243.82 : x
  2. Step 2: Convert to fraction form
    2,238.56/3,089.08 = 1,243.82/x
  3. Step 3: Cross multiply
    2,238.56x = 3,089.08 × 1,243.82
  4. Step 4: Simplify right side
    2,238.56x = 3,842,259.49
  5. Step 5: Solve for x
    x = 3,842,259.49/2,238.56
  6. Step 6: Final answer
    x = 1,716.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.