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Finding the Fourth Proportional to 2,241, 3,361.67 and 597.51

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Solution

The fourth proportional to 2,241, 3,361.67 and 597.51 is: 896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241 : 3,361.67 = 597.51 : x
  2. Step 2: Convert to fraction form
    2,241/3,361.67 = 597.51/x
  3. Step 3: Cross multiply
    2,241x = 3,361.67 × 597.51
  4. Step 4: Simplify right side
    2,241x = 2,008,630.69
  5. Step 5: Solve for x
    x = 2,008,630.69/2,241
  6. Step 6: Final answer
    x = 896.31

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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.