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Finding the Fourth Proportional to 2,824.92, 3,900.28 and 1,763.12

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Solution

The fourth proportional to 2,824.92, 3,900.28 and 1,763.12 is: 2,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.92 : 3,900.28 = 1,763.12 : x
  2. Step 2: Convert to fraction form
    2,824.92/3,900.28 = 1,763.12/x
  3. Step 3: Cross multiply
    2,824.92x = 3,900.28 × 1,763.12
  4. Step 4: Simplify right side
    2,824.92x = 6,876,661.67
  5. Step 5: Solve for x
    x = 6,876,661.67/2,824.92
  6. Step 6: Final answer
    x = 2,434.29

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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.