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Finding the Fourth Proportional to 1,594.82, 2,200.92 and 1,062.80

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Solution

The fourth proportional to 1,594.82, 2,200.92 and 1,062.80 is: 1,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.82 : 2,200.92 = 1,062.80 : x
  2. Step 2: Convert to fraction form
    1,594.82/2,200.92 = 1,062.80/x
  3. Step 3: Cross multiply
    1,594.82x = 2,200.92 × 1,062.80
  4. Step 4: Simplify right side
    1,594.82x = 2,339,137.78
  5. Step 5: Solve for x
    x = 2,339,137.78/1,594.82
  6. Step 6: Final answer
    x = 1,466.71

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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.