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Finding the Fourth Proportional to 3,200.67, 4,797.71 and 1,225.83

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Solution

The fourth proportional to 3,200.67, 4,797.71 and 1,225.83 is: 1,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.67 : 4,797.71 = 1,225.83 : x
  2. Step 2: Convert to fraction form
    3,200.67/4,797.71 = 1,225.83/x
  3. Step 3: Cross multiply
    3,200.67x = 4,797.71 × 1,225.83
  4. Step 4: Simplify right side
    3,200.67x = 5,881,179.91
  5. Step 5: Solve for x
    x = 5,881,179.91/3,200.67
  6. Step 6: Final answer
    x = 1,837.48

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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.