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Finding the Fourth Proportional to 3,003.58, 4,505.36 and 812.15

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Solution

The fourth proportional to 3,003.58, 4,505.36 and 812.15 is: 1,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.58 : 4,505.36 = 812.15 : x
  2. Step 2: Convert to fraction form
    3,003.58/4,505.36 = 812.15/x
  3. Step 3: Cross multiply
    3,003.58x = 4,505.36 × 812.15
  4. Step 4: Simplify right side
    3,003.58x = 3,659,001.54
  5. Step 5: Solve for x
    x = 3,659,001.54/3,003.58
  6. Step 6: Final answer
    x = 1,218.21

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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.