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Finding the Fourth Proportional to 1,633.46, 2,450.15 and 400.87

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Solution

The fourth proportional to 1,633.46, 2,450.15 and 400.87 is: 601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.46 : 2,450.15 = 400.87 : x
  2. Step 2: Convert to fraction form
    1,633.46/2,450.15 = 400.87/x
  3. Step 3: Cross multiply
    1,633.46x = 2,450.15 × 400.87
  4. Step 4: Simplify right side
    1,633.46x = 982,177.38
  5. Step 5: Solve for x
    x = 982,177.38/1,633.46
  6. Step 6: Final answer
    x = 601.29

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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.