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Finding the Fourth Proportional to 1,241.34, 1,847.96 and 1,224.06

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Solution

The fourth proportional to 1,241.34, 1,847.96 and 1,224.06 is: 1,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.34 : 1,847.96 = 1,224.06 : x
  2. Step 2: Convert to fraction form
    1,241.34/1,847.96 = 1,224.06/x
  3. Step 3: Cross multiply
    1,241.34x = 1,847.96 × 1,224.06
  4. Step 4: Simplify right side
    1,241.34x = 2,262,007.80
  5. Step 5: Solve for x
    x = 2,262,007.80/1,241.34
  6. Step 6: Final answer
    x = 1,822.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.