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Finding the Fourth Proportional to 2,894.94, 3,993.92 and 1,900.76

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Solution

The fourth proportional to 2,894.94, 3,993.92 and 1,900.76 is: 2,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.94 : 3,993.92 = 1,900.76 : x
  2. Step 2: Convert to fraction form
    2,894.94/3,993.92 = 1,900.76/x
  3. Step 3: Cross multiply
    2,894.94x = 3,993.92 × 1,900.76
  4. Step 4: Simplify right side
    2,894.94x = 7,591,483.38
  5. Step 5: Solve for x
    x = 7,591,483.38/2,894.94
  6. Step 6: Final answer
    x = 2,622.33

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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.