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Finding the Fourth Proportional to 2,241.68, 3,091.93 and 1,822.03

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Solution

The fourth proportional to 2,241.68, 3,091.93 and 1,822.03 is: 2,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.68 : 3,091.93 = 1,822.03 : x
  2. Step 2: Convert to fraction form
    2,241.68/3,091.93 = 1,822.03/x
  3. Step 3: Cross multiply
    2,241.68x = 3,091.93 × 1,822.03
  4. Step 4: Simplify right side
    2,241.68x = 5,633,576.93
  5. Step 5: Solve for x
    x = 5,633,576.93/2,241.68
  6. Step 6: Final answer
    x = 2,513.11

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