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Finding the Fourth Proportional to 3,117.92, 4,676.86 and 809.42

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Solution

The fourth proportional to 3,117.92, 4,676.86 and 809.42 is: 1,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.92 : 4,676.86 = 809.42 : x
  2. Step 2: Convert to fraction form
    3,117.92/4,676.86 = 809.42/x
  3. Step 3: Cross multiply
    3,117.92x = 4,676.86 × 809.42
  4. Step 4: Simplify right side
    3,117.92x = 3,785,544.02
  5. Step 5: Solve for x
    x = 3,785,544.02/3,117.92
  6. Step 6: Final answer
    x = 1,214.12

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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.