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Finding the Fourth Proportional to 2,447.18, 3,375.36 and 1,728.20

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Solution

The fourth proportional to 2,447.18, 3,375.36 and 1,728.20 is: 2,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.18 : 3,375.36 = 1,728.20 : x
  2. Step 2: Convert to fraction form
    2,447.18/3,375.36 = 1,728.20/x
  3. Step 3: Cross multiply
    2,447.18x = 3,375.36 × 1,728.20
  4. Step 4: Simplify right side
    2,447.18x = 5,833,288.51
  5. Step 5: Solve for x
    x = 5,833,288.51/2,447.18
  6. Step 6: Final answer
    x = 2,383.68

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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.