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Finding the Fourth Proportional to 2,134.74, 3,201.20 and 835.91

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Solution

The fourth proportional to 2,134.74, 3,201.20 and 835.91 is: 1,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.74 : 3,201.20 = 835.91 : x
  2. Step 2: Convert to fraction form
    2,134.74/3,201.20 = 835.91/x
  3. Step 3: Cross multiply
    2,134.74x = 3,201.20 × 835.91
  4. Step 4: Simplify right side
    2,134.74x = 2,675,915.09
  5. Step 5: Solve for x
    x = 2,675,915.09/2,134.74
  6. Step 6: Final answer
    x = 1,253.51

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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.