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Finding the Fourth Proportional to 1,812.28, 2,713.28 and 1,194.12

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Solution

The fourth proportional to 1,812.28, 2,713.28 and 1,194.12 is: 1,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.28 : 2,713.28 = 1,194.12 : x
  2. Step 2: Convert to fraction form
    1,812.28/2,713.28 = 1,194.12/x
  3. Step 3: Cross multiply
    1,812.28x = 2,713.28 × 1,194.12
  4. Step 4: Simplify right side
    1,812.28x = 3,239,981.91
  5. Step 5: Solve for x
    x = 3,239,981.91/1,812.28
  6. Step 6: Final answer
    x = 1,787.79

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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.