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Finding the Fourth Proportional to 2,241.52, 3,361.72 and 1,070.80

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Solution

The fourth proportional to 2,241.52, 3,361.72 and 1,070.80 is: 1,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.52 : 3,361.72 = 1,070.80 : x
  2. Step 2: Convert to fraction form
    2,241.52/3,361.72 = 1,070.80/x
  3. Step 3: Cross multiply
    2,241.52x = 3,361.72 × 1,070.80
  4. Step 4: Simplify right side
    2,241.52x = 3,599,729.78
  5. Step 5: Solve for x
    x = 3,599,729.78/2,241.52
  6. Step 6: Final answer
    x = 1,605.93

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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.