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Finding the Fourth Proportional to 2,151.77, 3,227.13 and 835.07

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Solution

The fourth proportional to 2,151.77, 3,227.13 and 835.07 is: 1,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.77 : 3,227.13 = 835.07 : x
  2. Step 2: Convert to fraction form
    2,151.77/3,227.13 = 835.07/x
  3. Step 3: Cross multiply
    2,151.77x = 3,227.13 × 835.07
  4. Step 4: Simplify right side
    2,151.77x = 2,694,863.31
  5. Step 5: Solve for x
    x = 2,694,863.31/2,151.77
  6. Step 6: Final answer
    x = 1,252.40

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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.