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Finding the Fourth Proportional to 1,633.77, 2,450.66 and 401.18

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Solution

The fourth proportional to 1,633.77, 2,450.66 and 401.18 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.77 : 2,450.66 = 401.18 : x
  2. Step 2: Convert to fraction form
    1,633.77/2,450.66 = 401.18/x
  3. Step 3: Cross multiply
    1,633.77x = 2,450.66 × 401.18
  4. Step 4: Simplify right side
    1,633.77x = 983,145.49
  5. Step 5: Solve for x
    x = 983,145.49/1,633.77
  6. Step 6: Final answer
    x = 601.77

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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.