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Finding the Fourth Proportional to 2,241.09, 3,361.84 and 854.04

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Solution

The fourth proportional to 2,241.09, 3,361.84 and 854.04 is: 1,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.09 : 3,361.84 = 854.04 : x
  2. Step 2: Convert to fraction form
    2,241.09/3,361.84 = 854.04/x
  3. Step 3: Cross multiply
    2,241.09x = 3,361.84 × 854.04
  4. Step 4: Simplify right side
    2,241.09x = 2,871,145.83
  5. Step 5: Solve for x
    x = 2,871,145.83/2,241.09
  6. Step 6: Final answer
    x = 1,281.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.