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Finding the Fourth Proportional to 2,462.92, 3,693.12 and 1,001.68

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Solution

The fourth proportional to 2,462.92, 3,693.12 and 1,001.68 is: 1,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.92 : 3,693.12 = 1,001.68 : x
  2. Step 2: Convert to fraction form
    2,462.92/3,693.12 = 1,001.68/x
  3. Step 3: Cross multiply
    2,462.92x = 3,693.12 × 1,001.68
  4. Step 4: Simplify right side
    2,462.92x = 3,699,324.44
  5. Step 5: Solve for x
    x = 3,699,324.44/2,462.92
  6. Step 6: Final answer
    x = 1,502.01

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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.