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Finding the Fourth Proportional to 3,149.41, 4,724.12 and 1,069.42

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Solution

The fourth proportional to 3,149.41, 4,724.12 and 1,069.42 is: 1,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.41 : 4,724.12 = 1,069.42 : x
  2. Step 2: Convert to fraction form
    3,149.41/4,724.12 = 1,069.42/x
  3. Step 3: Cross multiply
    3,149.41x = 4,724.12 × 1,069.42
  4. Step 4: Simplify right side
    3,149.41x = 5,052,068.41
  5. Step 5: Solve for x
    x = 5,052,068.41/3,149.41
  6. Step 6: Final answer
    x = 1,604.13

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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.