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Finding the Fourth Proportional to 2,394.15, 3,589.87 and 931.62

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Solution

The fourth proportional to 2,394.15, 3,589.87 and 931.62 is: 1,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.15 : 3,589.87 = 931.62 : x
  2. Step 2: Convert to fraction form
    2,394.15/3,589.87 = 931.62/x
  3. Step 3: Cross multiply
    2,394.15x = 3,589.87 × 931.62
  4. Step 4: Simplify right side
    2,394.15x = 3,344,394.69
  5. Step 5: Solve for x
    x = 3,344,394.69/2,394.15
  6. Step 6: Final answer
    x = 1,396.90

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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.