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Finding the Fourth Proportional to 1,462, 2,194.12 and 538.44

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Solution

The fourth proportional to 1,462, 2,194.12 and 538.44 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462 : 2,194.12 = 538.44 : x
  2. Step 2: Convert to fraction form
    1,462/2,194.12 = 538.44/x
  3. Step 3: Cross multiply
    1,462x = 2,194.12 × 538.44
  4. Step 4: Simplify right side
    1,462x = 1,181,401.97
  5. Step 5: Solve for x
    x = 1,181,401.97/1,462
  6. Step 6: Final answer
    x = 808.07

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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.