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Finding the Fourth Proportional to 1,831.89, 2,744.72 and 1,309.23

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Solution

The fourth proportional to 1,831.89, 2,744.72 and 1,309.23 is: 1,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.89 : 2,744.72 = 1,309.23 : x
  2. Step 2: Convert to fraction form
    1,831.89/2,744.72 = 1,309.23/x
  3. Step 3: Cross multiply
    1,831.89x = 2,744.72 × 1,309.23
  4. Step 4: Simplify right side
    1,831.89x = 3,593,479.90
  5. Step 5: Solve for x
    x = 3,593,479.90/1,831.89
  6. Step 6: Final answer
    x = 1,961.63

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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.