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Finding the Fourth Proportional to 2,267.66, 3,402.14 and 806.92

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Solution

The fourth proportional to 2,267.66, 3,402.14 and 806.92 is: 1,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.66 : 3,402.14 = 806.92 : x
  2. Step 2: Convert to fraction form
    2,267.66/3,402.14 = 806.92/x
  3. Step 3: Cross multiply
    2,267.66x = 3,402.14 × 806.92
  4. Step 4: Simplify right side
    2,267.66x = 2,745,242.27
  5. Step 5: Solve for x
    x = 2,745,242.27/2,267.66
  6. Step 6: Final answer
    x = 1,210.60

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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.