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Finding the Fourth Proportional to 3,289.73, 4,539.74 and 1,797.66

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Solution

The fourth proportional to 3,289.73, 4,539.74 and 1,797.66 is: 2,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.73 : 4,539.74 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    3,289.73/4,539.74 = 1,797.66/x
  3. Step 3: Cross multiply
    3,289.73x = 4,539.74 × 1,797.66
  4. Step 4: Simplify right side
    3,289.73x = 8,160,900.02
  5. Step 5: Solve for x
    x = 8,160,900.02/3,289.73
  6. Step 6: Final answer
    x = 2,480.72

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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.