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Finding the Fourth Proportional to 2,782.62, 3,837.24 and 1,839.24

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Solution

The fourth proportional to 2,782.62, 3,837.24 and 1,839.24 is: 2,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.62 : 3,837.24 = 1,839.24 : x
  2. Step 2: Convert to fraction form
    2,782.62/3,837.24 = 1,839.24/x
  3. Step 3: Cross multiply
    2,782.62x = 3,837.24 × 1,839.24
  4. Step 4: Simplify right side
    2,782.62x = 7,057,605.30
  5. Step 5: Solve for x
    x = 7,057,605.30/2,782.62
  6. Step 6: Final answer
    x = 2,536.32

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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.