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Finding the Fourth Proportional to 4,100.87, 6,148.32 and 1,634.95

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Solution

The fourth proportional to 4,100.87, 6,148.32 and 1,634.95 is: 2,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.87 : 6,148.32 = 1,634.95 : x
  2. Step 2: Convert to fraction form
    4,100.87/6,148.32 = 1,634.95/x
  3. Step 3: Cross multiply
    4,100.87x = 6,148.32 × 1,634.95
  4. Step 4: Simplify right side
    4,100.87x = 10,052,171.71
  5. Step 5: Solve for x
    x = 10,052,171.71/4,100.87
  6. Step 6: Final answer
    x = 2,451.23

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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.