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Finding the Fourth Proportional to 3,323.70, 4,586.85 and 1,831.74

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Solution

The fourth proportional to 3,323.70, 4,586.85 and 1,831.74 is: 2,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.70 : 4,586.85 = 1,831.74 : x
  2. Step 2: Convert to fraction form
    3,323.70/4,586.85 = 1,831.74/x
  3. Step 3: Cross multiply
    3,323.70x = 4,586.85 × 1,831.74
  4. Step 4: Simplify right side
    3,323.70x = 8,401,916.62
  5. Step 5: Solve for x
    x = 8,401,916.62/3,323.70
  6. Step 6: Final answer
    x = 2,527.88

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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.