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Finding the Fourth Proportional to 2,462.97, 3,694.50 and 1,001.10

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Solution

The fourth proportional to 2,462.97, 3,694.50 and 1,001.10 is: 1,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.97 : 3,694.50 = 1,001.10 : x
  2. Step 2: Convert to fraction form
    2,462.97/3,694.50 = 1,001.10/x
  3. Step 3: Cross multiply
    2,462.97x = 3,694.50 × 1,001.10
  4. Step 4: Simplify right side
    2,462.97x = 3,698,563.95
  5. Step 5: Solve for x
    x = 3,698,563.95/2,462.97
  6. Step 6: Final answer
    x = 1,501.67

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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.