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Finding the Fourth Proportional to 2,853.98, 3,935.38 and 1,857.42

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Solution

The fourth proportional to 2,853.98, 3,935.38 and 1,857.42 is: 2,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.98 : 3,935.38 = 1,857.42 : x
  2. Step 2: Convert to fraction form
    2,853.98/3,935.38 = 1,857.42/x
  3. Step 3: Cross multiply
    2,853.98x = 3,935.38 × 1,857.42
  4. Step 4: Simplify right side
    2,853.98x = 7,309,653.52
  5. Step 5: Solve for x
    x = 7,309,653.52/2,853.98
  6. Step 6: Final answer
    x = 2,561.21

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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.