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Finding the Fourth Proportional to 2,388.02, 3,581.60 and 633.04

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Solution

The fourth proportional to 2,388.02, 3,581.60 and 633.04 is: 949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.02 : 3,581.60 = 633.04 : x
  2. Step 2: Convert to fraction form
    2,388.02/3,581.60 = 633.04/x
  3. Step 3: Cross multiply
    2,388.02x = 3,581.60 × 633.04
  4. Step 4: Simplify right side
    2,388.02x = 2,267,296.06
  5. Step 5: Solve for x
    x = 2,267,296.06/2,388.02
  6. Step 6: Final answer
    x = 949.45

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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.