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Finding the Fourth Proportional to 1,638.45, 2,456.82 and 598.41

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Solution

The fourth proportional to 1,638.45, 2,456.82 and 598.41 is: 897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.45 : 2,456.82 = 598.41 : x
  2. Step 2: Convert to fraction form
    1,638.45/2,456.82 = 598.41/x
  3. Step 3: Cross multiply
    1,638.45x = 2,456.82 × 598.41
  4. Step 4: Simplify right side
    1,638.45x = 1,470,185.66
  5. Step 5: Solve for x
    x = 1,470,185.66/1,638.45
  6. Step 6: Final answer
    x = 897.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.