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Finding the Fourth Proportional to 2,242.42, 3,361.26 and 854.86

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Solution

The fourth proportional to 2,242.42, 3,361.26 and 854.86 is: 1,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.42 : 3,361.26 = 854.86 : x
  2. Step 2: Convert to fraction form
    2,242.42/3,361.26 = 854.86/x
  3. Step 3: Cross multiply
    2,242.42x = 3,361.26 × 854.86
  4. Step 4: Simplify right side
    2,242.42x = 2,873,406.72
  5. Step 5: Solve for x
    x = 2,873,406.72/2,242.42
  6. Step 6: Final answer
    x = 1,281.39

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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.