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Finding the Fourth Proportional to 1,634.08, 2,450.24 and 593.68

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Solution

The fourth proportional to 1,634.08, 2,450.24 and 593.68 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.08 : 2,450.24 = 593.68 : x
  2. Step 2: Convert to fraction form
    1,634.08/2,450.24 = 593.68/x
  3. Step 3: Cross multiply
    1,634.08x = 2,450.24 × 593.68
  4. Step 4: Simplify right side
    1,634.08x = 1,454,658.48
  5. Step 5: Solve for x
    x = 1,454,658.48/1,634.08
  6. Step 6: Final answer
    x = 890.20

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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.