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Finding the Fourth Proportional to 2,468.80, 3,703.06 and 825.18

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Solution

The fourth proportional to 2,468.80, 3,703.06 and 825.18 is: 1,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.80 : 3,703.06 = 825.18 : x
  2. Step 2: Convert to fraction form
    2,468.80/3,703.06 = 825.18/x
  3. Step 3: Cross multiply
    2,468.80x = 3,703.06 × 825.18
  4. Step 4: Simplify right side
    2,468.80x = 3,055,691.05
  5. Step 5: Solve for x
    x = 3,055,691.05/2,468.80
  6. Step 6: Final answer
    x = 1,237.72

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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.