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Finding the Fourth Proportional to 2,911.15, 4,367.41 and 831.19

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Solution

The fourth proportional to 2,911.15, 4,367.41 and 831.19 is: 1,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.15 : 4,367.41 = 831.19 : x
  2. Step 2: Convert to fraction form
    2,911.15/4,367.41 = 831.19/x
  3. Step 3: Cross multiply
    2,911.15x = 4,367.41 × 831.19
  4. Step 4: Simplify right side
    2,911.15x = 3,630,126.33
  5. Step 5: Solve for x
    x = 3,630,126.33/2,911.15
  6. Step 6: Final answer
    x = 1,246.97

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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.