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Finding the Fourth Proportional to 3,200.74, 4,801.77 and 1,814.70

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Solution

The fourth proportional to 3,200.74, 4,801.77 and 1,814.70 is: 2,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.74 : 4,801.77 = 1,814.70 : x
  2. Step 2: Convert to fraction form
    3,200.74/4,801.77 = 1,814.70/x
  3. Step 3: Cross multiply
    3,200.74x = 4,801.77 × 1,814.70
  4. Step 4: Simplify right side
    3,200.74x = 8,713,738.94
  5. Step 5: Solve for x
    x = 8,713,738.94/3,200.74
  6. Step 6: Final answer
    x = 2,722.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.