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Finding the Fourth Proportional to 2,775.99, 3,830.92 and 1,517.10

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Solution

The fourth proportional to 2,775.99, 3,830.92 and 1,517.10 is: 2,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.99 : 3,830.92 = 1,517.10 : x
  2. Step 2: Convert to fraction form
    2,775.99/3,830.92 = 1,517.10/x
  3. Step 3: Cross multiply
    2,775.99x = 3,830.92 × 1,517.10
  4. Step 4: Simplify right side
    2,775.99x = 5,811,884.94
  5. Step 5: Solve for x
    x = 5,811,884.94/2,775.99
  6. Step 6: Final answer
    x = 2,093.62

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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.