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Finding the Fourth Proportional to 2,291.85, 3,438.09 and 831.42

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Solution

The fourth proportional to 2,291.85, 3,438.09 and 831.42 is: 1,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.85 : 3,438.09 = 831.42 : x
  2. Step 2: Convert to fraction form
    2,291.85/3,438.09 = 831.42/x
  3. Step 3: Cross multiply
    2,291.85x = 3,438.09 × 831.42
  4. Step 4: Simplify right side
    2,291.85x = 2,858,496.79
  5. Step 5: Solve for x
    x = 2,858,496.79/2,291.85
  6. Step 6: Final answer
    x = 1,247.24

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Why These Related Problems?

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