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Finding the Fourth Proportional to 2,656.14, 3,983.68 and 2,524.42

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Solution

The fourth proportional to 2,656.14, 3,983.68 and 2,524.42 is: 3,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.14 : 3,983.68 = 2,524.42 : x
  2. Step 2: Convert to fraction form
    2,656.14/3,983.68 = 2,524.42/x
  3. Step 3: Cross multiply
    2,656.14x = 3,983.68 × 2,524.42
  4. Step 4: Simplify right side
    2,656.14x = 10,056,481.47
  5. Step 5: Solve for x
    x = 10,056,481.47/2,656.14
  6. Step 6: Final answer
    x = 3,786.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.