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Finding the Fourth Proportional to 2,791.95, 3,852.99 and 1,849.38

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Solution

The fourth proportional to 2,791.95, 3,852.99 and 1,849.38 is: 2,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.95 : 3,852.99 = 1,849.38 : x
  2. Step 2: Convert to fraction form
    2,791.95/3,852.99 = 1,849.38/x
  3. Step 3: Cross multiply
    2,791.95x = 3,852.99 × 1,849.38
  4. Step 4: Simplify right side
    2,791.95x = 7,125,642.65
  5. Step 5: Solve for x
    x = 7,125,642.65/2,791.95
  6. Step 6: Final answer
    x = 2,552.21

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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.