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Finding the Fourth Proportional to 2,396.35, 3,594.10 and 664.57

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Solution

The fourth proportional to 2,396.35, 3,594.10 and 664.57 is: 996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.35 : 3,594.10 = 664.57 : x
  2. Step 2: Convert to fraction form
    2,396.35/3,594.10 = 664.57/x
  3. Step 3: Cross multiply
    2,396.35x = 3,594.10 × 664.57
  4. Step 4: Simplify right side
    2,396.35x = 2,388,531.04
  5. Step 5: Solve for x
    x = 2,388,531.04/2,396.35
  6. Step 6: Final answer
    x = 996.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.