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Finding the Fourth Proportional to 2,828.88, 4,242.50 and 1,185.38

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Solution

The fourth proportional to 2,828.88, 4,242.50 and 1,185.38 is: 1,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.88 : 4,242.50 = 1,185.38 : x
  2. Step 2: Convert to fraction form
    2,828.88/4,242.50 = 1,185.38/x
  3. Step 3: Cross multiply
    2,828.88x = 4,242.50 × 1,185.38
  4. Step 4: Simplify right side
    2,828.88x = 5,028,974.65
  5. Step 5: Solve for x
    x = 5,028,974.65/2,828.88
  6. Step 6: Final answer
    x = 1,777.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.