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Finding the Fourth Proportional to 2,911.07, 4,366.62 and 831.08

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Solution

The fourth proportional to 2,911.07, 4,366.62 and 831.08 is: 1,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.07 : 4,366.62 = 831.08 : x
  2. Step 2: Convert to fraction form
    2,911.07/4,366.62 = 831.08/x
  3. Step 3: Cross multiply
    2,911.07x = 4,366.62 × 831.08
  4. Step 4: Simplify right side
    2,911.07x = 3,629,010.55
  5. Step 5: Solve for x
    x = 3,629,010.55/2,911.07
  6. Step 6: Final answer
    x = 1,246.62

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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.