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Finding the Fourth Proportional to 2,462.25, 3,693.93 and 819.99

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Solution

The fourth proportional to 2,462.25, 3,693.93 and 819.99 is: 1,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.25 : 3,693.93 = 819.99 : x
  2. Step 2: Convert to fraction form
    2,462.25/3,693.93 = 819.99/x
  3. Step 3: Cross multiply
    2,462.25x = 3,693.93 × 819.99
  4. Step 4: Simplify right side
    2,462.25x = 3,028,985.66
  5. Step 5: Solve for x
    x = 3,028,985.66/2,462.25
  6. Step 6: Final answer
    x = 1,230.17

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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.