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Finding the Fourth Proportional to 2,911.74, 4,367.30 and 831.62

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Solution

The fourth proportional to 2,911.74, 4,367.30 and 831.62 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.74 : 4,367.30 = 831.62 : x
  2. Step 2: Convert to fraction form
    2,911.74/4,367.30 = 831.62/x
  3. Step 3: Cross multiply
    2,911.74x = 4,367.30 × 831.62
  4. Step 4: Simplify right side
    2,911.74x = 3,631,934.03
  5. Step 5: Solve for x
    x = 3,631,934.03/2,911.74
  6. Step 6: Final answer
    x = 1,247.34

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1.5x scale

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.