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Finding the Fourth Proportional to 2,218.54, 3,327.92 and 831.74

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Solution

The fourth proportional to 2,218.54, 3,327.92 and 831.74 is: 1,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.54 : 3,327.92 = 831.74 : x
  2. Step 2: Convert to fraction form
    2,218.54/3,327.92 = 831.74/x
  3. Step 3: Cross multiply
    2,218.54x = 3,327.92 × 831.74
  4. Step 4: Simplify right side
    2,218.54x = 2,767,964.18
  5. Step 5: Solve for x
    x = 2,767,964.18/2,218.54
  6. Step 6: Final answer
    x = 1,247.65

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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.