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Finding the Fourth Proportional to 2,586.69, 3,880.26 and 831.74

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Solution

The fourth proportional to 2,586.69, 3,880.26 and 831.74 is: 1,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.69 : 3,880.26 = 831.74 : x
  2. Step 2: Convert to fraction form
    2,586.69/3,880.26 = 831.74/x
  3. Step 3: Cross multiply
    2,586.69x = 3,880.26 × 831.74
  4. Step 4: Simplify right side
    2,586.69x = 3,227,348.05
  5. Step 5: Solve for x
    x = 3,227,348.05/2,586.69
  6. Step 6: Final answer
    x = 1,247.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.