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Finding the Fourth Proportional to 2,240.82, 3,361 and 597.54

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Solution

The fourth proportional to 2,240.82, 3,361 and 597.54 is: 896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.82 : 3,361 = 597.54 : x
  2. Step 2: Convert to fraction form
    2,240.82/3,361 = 597.54/x
  3. Step 3: Cross multiply
    2,240.82x = 3,361 × 597.54
  4. Step 4: Simplify right side
    2,240.82x = 2,008,331.94
  5. Step 5: Solve for x
    x = 2,008,331.94/2,240.82
  6. Step 6: Final answer
    x = 896.25

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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.