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Finding the Fourth Proportional to 2,462.72, 3,694.08 and 1,001.48

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Solution

The fourth proportional to 2,462.72, 3,694.08 and 1,001.48 is: 1,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.72 : 3,694.08 = 1,001.48 : x
  2. Step 2: Convert to fraction form
    2,462.72/3,694.08 = 1,001.48/x
  3. Step 3: Cross multiply
    2,462.72x = 3,694.08 × 1,001.48
  4. Step 4: Simplify right side
    2,462.72x = 3,699,547.24
  5. Step 5: Solve for x
    x = 3,699,547.24/2,462.72
  6. Step 6: Final answer
    x = 1,502.22

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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.