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Finding the Fourth Proportional to 2,089.91, 3,134.74 and 857.27

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Solution

The fourth proportional to 2,089.91, 3,134.74 and 857.27 is: 1,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.91 : 3,134.74 = 857.27 : x
  2. Step 2: Convert to fraction form
    2,089.91/3,134.74 = 857.27/x
  3. Step 3: Cross multiply
    2,089.91x = 3,134.74 × 857.27
  4. Step 4: Simplify right side
    2,089.91x = 2,687,318.56
  5. Step 5: Solve for x
    x = 2,687,318.56/2,089.91
  6. Step 6: Final answer
    x = 1,285.85

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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.