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Finding the Fourth Proportional to 2,694.46, 3,707.46 and 2,629.66

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Solution

The fourth proportional to 2,694.46, 3,707.46 and 2,629.66 is: 3,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.46 : 3,707.46 = 2,629.66 : x
  2. Step 2: Convert to fraction form
    2,694.46/3,707.46 = 2,629.66/x
  3. Step 3: Cross multiply
    2,694.46x = 3,707.46 × 2,629.66
  4. Step 4: Simplify right side
    2,694.46x = 9,749,359.26
  5. Step 5: Solve for x
    x = 9,749,359.26/2,694.46
  6. Step 6: Final answer
    x = 3,618.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.