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Finding the Fourth Proportional to 1,829.52, 2,743.38 and 855.36

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Solution

The fourth proportional to 1,829.52, 2,743.38 and 855.36 is: 1,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.52 : 2,743.38 = 855.36 : x
  2. Step 2: Convert to fraction form
    1,829.52/2,743.38 = 855.36/x
  3. Step 3: Cross multiply
    1,829.52x = 2,743.38 × 855.36
  4. Step 4: Simplify right side
    1,829.52x = 2,346,577.52
  5. Step 5: Solve for x
    x = 2,346,577.52/1,829.52
  6. Step 6: Final answer
    x = 1,282.62

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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.