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Finding the Fourth Proportional to 2,490.33, 3,735.57 and 824.49

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Solution

The fourth proportional to 2,490.33, 3,735.57 and 824.49 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.33 : 3,735.57 = 824.49 : x
  2. Step 2: Convert to fraction form
    2,490.33/3,735.57 = 824.49/x
  3. Step 3: Cross multiply
    2,490.33x = 3,735.57 × 824.49
  4. Step 4: Simplify right side
    2,490.33x = 3,079,940.11
  5. Step 5: Solve for x
    x = 3,079,940.11/2,490.33
  6. Step 6: Final answer
    x = 1,236.76

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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.