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Finding the Fourth Proportional to 3,323.97, 4,586.87 and 1,831.80

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Solution

The fourth proportional to 3,323.97, 4,586.87 and 1,831.80 is: 2,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.97 : 4,586.87 = 1,831.80 : x
  2. Step 2: Convert to fraction form
    3,323.97/4,586.87 = 1,831.80/x
  3. Step 3: Cross multiply
    3,323.97x = 4,586.87 × 1,831.80
  4. Step 4: Simplify right side
    3,323.97x = 8,402,250.25
  5. Step 5: Solve for x
    x = 8,402,250.25/3,323.97
  6. Step 6: Final answer
    x = 2,527.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.