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Finding the Fourth Proportional to 2,396.10, 3,593.73 and 664.32

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Solution

The fourth proportional to 2,396.10, 3,593.73 and 664.32 is: 996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.10 : 3,593.73 = 664.32 : x
  2. Step 2: Convert to fraction form
    2,396.10/3,593.73 = 664.32/x
  3. Step 3: Cross multiply
    2,396.10x = 3,593.73 × 664.32
  4. Step 4: Simplify right side
    2,396.10x = 2,387,386.71
  5. Step 5: Solve for x
    x = 2,387,386.71/2,396.10
  6. Step 6: Final answer
    x = 996.36

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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.