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Finding the Fourth Proportional to 1,862, 2,569.52 and 1,198.85

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Solution

The fourth proportional to 1,862, 2,569.52 and 1,198.85 is: 1,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862 : 2,569.52 = 1,198.85 : x
  2. Step 2: Convert to fraction form
    1,862/2,569.52 = 1,198.85/x
  3. Step 3: Cross multiply
    1,862x = 2,569.52 × 1,198.85
  4. Step 4: Simplify right side
    1,862x = 3,080,469.05
  5. Step 5: Solve for x
    x = 3,080,469.05/1,862
  6. Step 6: Final answer
    x = 1,654.39

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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.