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Finding the Fourth Proportional to 2,462.44, 3,693.62 and 819.10

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Solution

The fourth proportional to 2,462.44, 3,693.62 and 819.10 is: 1,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.44 : 3,693.62 = 819.10 : x
  2. Step 2: Convert to fraction form
    2,462.44/3,693.62 = 819.10/x
  3. Step 3: Cross multiply
    2,462.44x = 3,693.62 × 819.10
  4. Step 4: Simplify right side
    2,462.44x = 3,025,444.14
  5. Step 5: Solve for x
    x = 3,025,444.14/2,462.44
  6. Step 6: Final answer
    x = 1,228.64

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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.