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Finding the Fourth Proportional to 3,361.42, 5,042.40 and 896.23

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Solution

The fourth proportional to 3,361.42, 5,042.40 and 896.23 is: 1,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.42 : 5,042.40 = 896.23 : x
  2. Step 2: Convert to fraction form
    3,361.42/5,042.40 = 896.23/x
  3. Step 3: Cross multiply
    3,361.42x = 5,042.40 × 896.23
  4. Step 4: Simplify right side
    3,361.42x = 4,519,150.15
  5. Step 5: Solve for x
    x = 4,519,150.15/3,361.42
  6. Step 6: Final answer
    x = 1,344.42

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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.