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Finding the Fourth Proportional to 1,638.37, 2,456.82 and 597.64

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Solution

The fourth proportional to 1,638.37, 2,456.82 and 597.64 is: 896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.37 : 2,456.82 = 597.64 : x
  2. Step 2: Convert to fraction form
    1,638.37/2,456.82 = 597.64/x
  3. Step 3: Cross multiply
    1,638.37x = 2,456.82 × 597.64
  4. Step 4: Simplify right side
    1,638.37x = 1,468,297.49
  5. Step 5: Solve for x
    x = 1,468,297.49/1,638.37
  6. Step 6: Final answer
    x = 896.19

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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.