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Finding the Fourth Proportional to 2,388.82, 3,583.08 and 633.79

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Solution

The fourth proportional to 2,388.82, 3,583.08 and 633.79 is: 950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.82 : 3,583.08 = 633.79 : x
  2. Step 2: Convert to fraction form
    2,388.82/3,583.08 = 633.79/x
  3. Step 3: Cross multiply
    2,388.82x = 3,583.08 × 633.79
  4. Step 4: Simplify right side
    2,388.82x = 2,270,920.27
  5. Step 5: Solve for x
    x = 2,270,920.27/2,388.82
  6. Step 6: Final answer
    x = 950.65

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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.