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Finding the Fourth Proportional to 2,107.76, 3,160.92 and 809.12

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Solution

The fourth proportional to 2,107.76, 3,160.92 and 809.12 is: 1,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.76 : 3,160.92 = 809.12 : x
  2. Step 2: Convert to fraction form
    2,107.76/3,160.92 = 809.12/x
  3. Step 3: Cross multiply
    2,107.76x = 3,160.92 × 809.12
  4. Step 4: Simplify right side
    2,107.76x = 2,557,563.59
  5. Step 5: Solve for x
    x = 2,557,563.59/2,107.76
  6. Step 6: Final answer
    x = 1,213.40

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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.