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Finding the Fourth Proportional to 2,463, 3,693.06 and 1,077.24

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Solution

The fourth proportional to 2,463, 3,693.06 and 1,077.24 is: 1,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463 : 3,693.06 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    2,463/3,693.06 = 1,077.24/x
  3. Step 3: Cross multiply
    2,463x = 3,693.06 × 1,077.24
  4. Step 4: Simplify right side
    2,463x = 3,978,311.95
  5. Step 5: Solve for x
    x = 3,978,311.95/2,463
  6. Step 6: Final answer
    x = 1,615.23

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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.