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Finding the Fourth Proportional to 3,002.92, 4,504.38 and 811.88

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Solution

The fourth proportional to 3,002.92, 4,504.38 and 811.88 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.92 : 4,504.38 = 811.88 : x
  2. Step 2: Convert to fraction form
    3,002.92/4,504.38 = 811.88/x
  3. Step 3: Cross multiply
    3,002.92x = 4,504.38 × 811.88
  4. Step 4: Simplify right side
    3,002.92x = 3,657,016.03
  5. Step 5: Solve for x
    x = 3,657,016.03/3,002.92
  6. Step 6: Final answer
    x = 1,217.82

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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.