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Finding the Fourth Proportional to 2,906.99, 4,360.43 and 827.01

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Solution

The fourth proportional to 2,906.99, 4,360.43 and 827.01 is: 1,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.99 : 4,360.43 = 827.01 : x
  2. Step 2: Convert to fraction form
    2,906.99/4,360.43 = 827.01/x
  3. Step 3: Cross multiply
    2,906.99x = 4,360.43 × 827.01
  4. Step 4: Simplify right side
    2,906.99x = 3,606,121.28
  5. Step 5: Solve for x
    x = 3,606,121.28/2,906.99
  6. Step 6: Final answer
    x = 1,240.50

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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.