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Finding the Fourth Proportional to 2,561.82, 3,843.81 and 2,357.50

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Solution

The fourth proportional to 2,561.82, 3,843.81 and 2,357.50 is: 3,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.82 : 3,843.81 = 2,357.50 : x
  2. Step 2: Convert to fraction form
    2,561.82/3,843.81 = 2,357.50/x
  3. Step 3: Cross multiply
    2,561.82x = 3,843.81 × 2,357.50
  4. Step 4: Simplify right side
    2,561.82x = 9,061,782.08
  5. Step 5: Solve for x
    x = 9,061,782.08/2,561.82
  6. Step 6: Final answer
    x = 3,537.24

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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.