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Finding the Fourth Proportional to 2,241.10, 3,361.20 and 853.48

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Solution

The fourth proportional to 2,241.10, 3,361.20 and 853.48 is: 1,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.10 : 3,361.20 = 853.48 : x
  2. Step 2: Convert to fraction form
    2,241.10/3,361.20 = 853.48/x
  3. Step 3: Cross multiply
    2,241.10x = 3,361.20 × 853.48
  4. Step 4: Simplify right side
    2,241.10x = 2,868,716.98
  5. Step 5: Solve for x
    x = 2,868,716.98/2,241.10
  6. Step 6: Final answer
    x = 1,280.05

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1.5x scale

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.