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Finding the Fourth Proportional to 2,330.87, 3,495.78 and 664.97

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Solution

The fourth proportional to 2,330.87, 3,495.78 and 664.97 is: 997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.87 : 3,495.78 = 664.97 : x
  2. Step 2: Convert to fraction form
    2,330.87/3,495.78 = 664.97/x
  3. Step 3: Cross multiply
    2,330.87x = 3,495.78 × 664.97
  4. Step 4: Simplify right side
    2,330.87x = 2,324,573.22
  5. Step 5: Solve for x
    x = 2,324,573.22/2,330.87
  6. Step 6: Final answer
    x = 997.30

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1.5x scale

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.