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Finding the Fourth Proportional to 3,400.70, 4,693.14 and 1,908.66

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Solution

The fourth proportional to 3,400.70, 4,693.14 and 1,908.66 is: 2,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.70 : 4,693.14 = 1,908.66 : x
  2. Step 2: Convert to fraction form
    3,400.70/4,693.14 = 1,908.66/x
  3. Step 3: Cross multiply
    3,400.70x = 4,693.14 × 1,908.66
  4. Step 4: Simplify right side
    3,400.70x = 8,957,608.59
  5. Step 5: Solve for x
    x = 8,957,608.59/3,400.70
  6. Step 6: Final answer
    x = 2,634.05

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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.