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Finding the Fourth Proportional to 4,074.19, 6,107.17 and 1,608.05

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Solution

The fourth proportional to 4,074.19, 6,107.17 and 1,608.05 is: 2,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.19 : 6,107.17 = 1,608.05 : x
  2. Step 2: Convert to fraction form
    4,074.19/6,107.17 = 1,608.05/x
  3. Step 3: Cross multiply
    4,074.19x = 6,107.17 × 1,608.05
  4. Step 4: Simplify right side
    4,074.19x = 9,820,634.72
  5. Step 5: Solve for x
    x = 9,820,634.72/4,074.19
  6. Step 6: Final answer
    x = 2,410.45

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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.