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Finding the Fourth Proportional to 2,790.87, 3,850.85 and 1,656.33

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Solution

The fourth proportional to 2,790.87, 3,850.85 and 1,656.33 is: 2,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.87 : 3,850.85 = 1,656.33 : x
  2. Step 2: Convert to fraction form
    2,790.87/3,850.85 = 1,656.33/x
  3. Step 3: Cross multiply
    2,790.87x = 3,850.85 × 1,656.33
  4. Step 4: Simplify right side
    2,790.87x = 6,378,278.38
  5. Step 5: Solve for x
    x = 6,378,278.38/2,790.87
  6. Step 6: Final answer
    x = 2,285.41

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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.