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Finding the Fourth Proportional to 1,262.82, 1,894.10 and 854.58

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Solution

The fourth proportional to 1,262.82, 1,894.10 and 854.58 is: 1,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.82 : 1,894.10 = 854.58 : x
  2. Step 2: Convert to fraction form
    1,262.82/1,894.10 = 854.58/x
  3. Step 3: Cross multiply
    1,262.82x = 1,894.10 × 854.58
  4. Step 4: Simplify right side
    1,262.82x = 1,618,659.98
  5. Step 5: Solve for x
    x = 1,618,659.98/1,262.82
  6. Step 6: Final answer
    x = 1,281.78

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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.