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Finding the Fourth Proportional to 1,462.86, 2,194.35 and 537.84

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Solution

The fourth proportional to 1,462.86, 2,194.35 and 537.84 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.86 : 2,194.35 = 537.84 : x
  2. Step 2: Convert to fraction form
    1,462.86/2,194.35 = 537.84/x
  3. Step 3: Cross multiply
    1,462.86x = 2,194.35 × 537.84
  4. Step 4: Simplify right side
    1,462.86x = 1,180,209.20
  5. Step 5: Solve for x
    x = 1,180,209.20/1,462.86
  6. Step 6: Final answer
    x = 806.78

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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.