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Finding the Fourth Proportional to 2,462.79, 3,694.09 and 1,001.89

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Solution

The fourth proportional to 2,462.79, 3,694.09 and 1,001.89 is: 1,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.79 : 3,694.09 = 1,001.89 : x
  2. Step 2: Convert to fraction form
    2,462.79/3,694.09 = 1,001.89/x
  3. Step 3: Cross multiply
    2,462.79x = 3,694.09 × 1,001.89
  4. Step 4: Simplify right side
    2,462.79x = 3,701,071.83
  5. Step 5: Solve for x
    x = 3,701,071.83/2,462.79
  6. Step 6: Final answer
    x = 1,502.80

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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.