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Finding the Fourth Proportional to 2,894.24, 4,331.04 and 1,799.12

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Solution

The fourth proportional to 2,894.24, 4,331.04 and 1,799.12 is: 2,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.24 : 4,331.04 = 1,799.12 : x
  2. Step 2: Convert to fraction form
    2,894.24/4,331.04 = 1,799.12/x
  3. Step 3: Cross multiply
    2,894.24x = 4,331.04 × 1,799.12
  4. Step 4: Simplify right side
    2,894.24x = 7,792,060.68
  5. Step 5: Solve for x
    x = 7,792,060.68/2,894.24
  6. Step 6: Final answer
    x = 2,692.26

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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.