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Finding the Fourth Proportional to 3,323.41, 4,586.31 and 1,831.33

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Solution

The fourth proportional to 3,323.41, 4,586.31 and 1,831.33 is: 2,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.41 : 4,586.31 = 1,831.33 : x
  2. Step 2: Convert to fraction form
    3,323.41/4,586.31 = 1,831.33/x
  3. Step 3: Cross multiply
    3,323.41x = 4,586.31 × 1,831.33
  4. Step 4: Simplify right side
    3,323.41x = 8,399,047.09
  5. Step 5: Solve for x
    x = 8,399,047.09/3,323.41
  6. Step 6: Final answer
    x = 2,527.24

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