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Finding the Fourth Proportional to 2,911.63, 4,366.12 and 831.13

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Solution

The fourth proportional to 2,911.63, 4,366.12 and 831.13 is: 1,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.63 : 4,366.12 = 831.13 : x
  2. Step 2: Convert to fraction form
    2,911.63/4,366.12 = 831.13/x
  3. Step 3: Cross multiply
    2,911.63x = 4,366.12 × 831.13
  4. Step 4: Simplify right side
    2,911.63x = 3,628,787.33
  5. Step 5: Solve for x
    x = 3,628,787.33/2,911.63
  6. Step 6: Final answer
    x = 1,246.31

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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.