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Finding the Fourth Proportional to 2,531.07, 3,796.47 and 799.56

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Solution

The fourth proportional to 2,531.07, 3,796.47 and 799.56 is: 1,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.07 : 3,796.47 = 799.56 : x
  2. Step 2: Convert to fraction form
    2,531.07/3,796.47 = 799.56/x
  3. Step 3: Cross multiply
    2,531.07x = 3,796.47 × 799.56
  4. Step 4: Simplify right side
    2,531.07x = 3,035,517.04
  5. Step 5: Solve for x
    x = 3,035,517.04/2,531.07
  6. Step 6: Final answer
    x = 1,199.30

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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.