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Finding the Fourth Proportional to 2,795.32, 3,857.73 and 1,849.47

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Solution

The fourth proportional to 2,795.32, 3,857.73 and 1,849.47 is: 2,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.32 : 3,857.73 = 1,849.47 : x
  2. Step 2: Convert to fraction form
    2,795.32/3,857.73 = 1,849.47/x
  3. Step 3: Cross multiply
    2,795.32x = 3,857.73 × 1,849.47
  4. Step 4: Simplify right side
    2,795.32x = 7,134,755.90
  5. Step 5: Solve for x
    x = 7,134,755.90/2,795.32
  6. Step 6: Final answer
    x = 2,552.39

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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.