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Finding the Fourth Proportional to 3,161.14, 4,739 and 1,599.19

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Solution

The fourth proportional to 3,161.14, 4,739 and 1,599.19 is: 2,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.14 : 4,739 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    3,161.14/4,739 = 1,599.19/x
  3. Step 3: Cross multiply
    3,161.14x = 4,739 × 1,599.19
  4. Step 4: Simplify right side
    3,161.14x = 7,578,537.72
  5. Step 5: Solve for x
    x = 7,578,537.72/3,161.14
  6. Step 6: Final answer
    x = 2,397.41

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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.