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Finding the Fourth Proportional to 2,974.99, 4,107.49 and 2,659.24

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Solution

The fourth proportional to 2,974.99, 4,107.49 and 2,659.24 is: 3,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.99 : 4,107.49 = 2,659.24 : x
  2. Step 2: Convert to fraction form
    2,974.99/4,107.49 = 2,659.24/x
  3. Step 3: Cross multiply
    2,974.99x = 4,107.49 × 2,659.24
  4. Step 4: Simplify right side
    2,974.99x = 10,922,800.19
  5. Step 5: Solve for x
    x = 10,922,800.19/2,974.99
  6. Step 6: Final answer
    x = 3,671.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.