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Finding the Fourth Proportional to 2,240.82, 3,361.43 and 597.38

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Solution

The fourth proportional to 2,240.82, 3,361.43 and 597.38 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.82 : 3,361.43 = 597.38 : x
  2. Step 2: Convert to fraction form
    2,240.82/3,361.43 = 597.38/x
  3. Step 3: Cross multiply
    2,240.82x = 3,361.43 × 597.38
  4. Step 4: Simplify right side
    2,240.82x = 2,008,031.26
  5. Step 5: Solve for x
    x = 2,008,031.26/2,240.82
  6. Step 6: Final answer
    x = 896.11

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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.