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Finding the Fourth Proportional to 2,391.49, 3,586.38 and 831.09

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Solution

The fourth proportional to 2,391.49, 3,586.38 and 831.09 is: 1,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.49 : 3,586.38 = 831.09 : x
  2. Step 2: Convert to fraction form
    2,391.49/3,586.38 = 831.09/x
  3. Step 3: Cross multiply
    2,391.49x = 3,586.38 × 831.09
  4. Step 4: Simplify right side
    2,391.49x = 2,980,614.89
  5. Step 5: Solve for x
    x = 2,980,614.89/2,391.49
  6. Step 6: Final answer
    x = 1,246.34

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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.