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Finding the Fourth Proportional to 3,164.08, 4,366.62 and 1,766.92

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Solution

The fourth proportional to 3,164.08, 4,366.62 and 1,766.92 is: 2,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.08 : 4,366.62 = 1,766.92 : x
  2. Step 2: Convert to fraction form
    3,164.08/4,366.62 = 1,766.92/x
  3. Step 3: Cross multiply
    3,164.08x = 4,366.62 × 1,766.92
  4. Step 4: Simplify right side
    3,164.08x = 7,715,468.21
  5. Step 5: Solve for x
    x = 7,715,468.21/3,164.08
  6. Step 6: Final answer
    x = 2,438.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.