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Finding the Fourth Proportional to 2,911.51, 4,366.60 and 831.73

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Solution

The fourth proportional to 2,911.51, 4,366.60 and 831.73 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.51 : 4,366.60 = 831.73 : x
  2. Step 2: Convert to fraction form
    2,911.51/4,366.60 = 831.73/x
  3. Step 3: Cross multiply
    2,911.51x = 4,366.60 × 831.73
  4. Step 4: Simplify right side
    2,911.51x = 3,631,832.22
  5. Step 5: Solve for x
    x = 3,631,832.22/2,911.51
  6. Step 6: Final answer
    x = 1,247.41

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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.