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Finding the Fourth Proportional to 3,002.92, 4,504.04 and 811.86

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Solution

The fourth proportional to 3,002.92, 4,504.04 and 811.86 is: 1,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.92 : 4,504.04 = 811.86 : x
  2. Step 2: Convert to fraction form
    3,002.92/4,504.04 = 811.86/x
  3. Step 3: Cross multiply
    3,002.92x = 4,504.04 × 811.86
  4. Step 4: Simplify right side
    3,002.92x = 3,656,649.91
  5. Step 5: Solve for x
    x = 3,656,649.91/3,002.92
  6. Step 6: Final answer
    x = 1,217.70

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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.