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Finding the Fourth Proportional to 1,891.82, 2,838.18 and 575.55

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Solution

The fourth proportional to 1,891.82, 2,838.18 and 575.55 is: 863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.82 : 2,838.18 = 575.55 : x
  2. Step 2: Convert to fraction form
    1,891.82/2,838.18 = 575.55/x
  3. Step 3: Cross multiply
    1,891.82x = 2,838.18 × 575.55
  4. Step 4: Simplify right side
    1,891.82x = 1,633,514.50
  5. Step 5: Solve for x
    x = 1,633,514.50/1,891.82
  6. Step 6: Final answer
    x = 863.46

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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.