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Finding the Fourth Proportional to 2,468.12, 3,405.12 and 1,523.48

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Solution

The fourth proportional to 2,468.12, 3,405.12 and 1,523.48 is: 2,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.12 : 3,405.12 = 1,523.48 : x
  2. Step 2: Convert to fraction form
    2,468.12/3,405.12 = 1,523.48/x
  3. Step 3: Cross multiply
    2,468.12x = 3,405.12 × 1,523.48
  4. Step 4: Simplify right side
    2,468.12x = 5,187,632.22
  5. Step 5: Solve for x
    x = 5,187,632.22/2,468.12
  6. Step 6: Final answer
    x = 2,101.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.