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Finding the Fourth Proportional to 3,400.66, 4,693.09 and 1,908.50

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Solution

The fourth proportional to 3,400.66, 4,693.09 and 1,908.50 is: 2,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.66 : 4,693.09 = 1,908.50 : x
  2. Step 2: Convert to fraction form
    3,400.66/4,693.09 = 1,908.50/x
  3. Step 3: Cross multiply
    3,400.66x = 4,693.09 × 1,908.50
  4. Step 4: Simplify right side
    3,400.66x = 8,956,762.27
  5. Step 5: Solve for x
    x = 8,956,762.27/3,400.66
  6. Step 6: Final answer
    x = 2,633.83

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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.