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Finding the Fourth Proportional to 3,323.69, 4,586.71 and 1,831.75

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Solution

The fourth proportional to 3,323.69, 4,586.71 and 1,831.75 is: 2,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.69 : 4,586.71 = 1,831.75 : x
  2. Step 2: Convert to fraction form
    3,323.69/4,586.71 = 1,831.75/x
  3. Step 3: Cross multiply
    3,323.69x = 4,586.71 × 1,831.75
  4. Step 4: Simplify right side
    3,323.69x = 8,401,706.04
  5. Step 5: Solve for x
    x = 8,401,706.04/3,323.69
  6. Step 6: Final answer
    x = 2,527.82

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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.