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Finding the Fourth Proportional to 3,323.46, 4,586.41 and 1,831.43

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Solution

The fourth proportional to 3,323.46, 4,586.41 and 1,831.43 is: 2,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.46 : 4,586.41 = 1,831.43 : x
  2. Step 2: Convert to fraction form
    3,323.46/4,586.41 = 1,831.43/x
  3. Step 3: Cross multiply
    3,323.46x = 4,586.41 × 1,831.43
  4. Step 4: Simplify right side
    3,323.46x = 8,399,688.87
  5. Step 5: Solve for x
    x = 8,399,688.87/3,323.46
  6. Step 6: Final answer
    x = 2,527.39

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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.