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Finding the Fourth Proportional to 4,069.72, 6,105.04 and 1,604.22

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Solution

The fourth proportional to 4,069.72, 6,105.04 and 1,604.22 is: 2,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.72 : 6,105.04 = 1,604.22 : x
  2. Step 2: Convert to fraction form
    4,069.72/6,105.04 = 1,604.22/x
  3. Step 3: Cross multiply
    4,069.72x = 6,105.04 × 1,604.22
  4. Step 4: Simplify right side
    4,069.72x = 9,793,827.27
  5. Step 5: Solve for x
    x = 9,793,827.27/4,069.72
  6. Step 6: Final answer
    x = 2,406.51

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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.