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Finding the Fourth Proportional to 2,663.88, 3,995.58 and 815.43

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Solution

The fourth proportional to 2,663.88, 3,995.58 and 815.43 is: 1,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.88 : 3,995.58 = 815.43 : x
  2. Step 2: Convert to fraction form
    2,663.88/3,995.58 = 815.43/x
  3. Step 3: Cross multiply
    2,663.88x = 3,995.58 × 815.43
  4. Step 4: Simplify right side
    2,663.88x = 3,258,115.80
  5. Step 5: Solve for x
    x = 3,258,115.80/2,663.88
  6. Step 6: Final answer
    x = 1,223.07

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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.