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Finding the Fourth Proportional to 1,422.94, 2,134.70 and 806.92

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Solution

The fourth proportional to 1,422.94, 2,134.70 and 806.92 is: 1,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.94 : 2,134.70 = 806.92 : x
  2. Step 2: Convert to fraction form
    1,422.94/2,134.70 = 806.92/x
  3. Step 3: Cross multiply
    1,422.94x = 2,134.70 × 806.92
  4. Step 4: Simplify right side
    1,422.94x = 1,722,532.12
  5. Step 5: Solve for x
    x = 1,722,532.12/1,422.94
  6. Step 6: Final answer
    x = 1,210.54

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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.