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Finding the Fourth Proportional to 2,166.14, 3,249.20 and 522.68

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Solution

The fourth proportional to 2,166.14, 3,249.20 and 522.68 is: 784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.14 : 3,249.20 = 522.68 : x
  2. Step 2: Convert to fraction form
    2,166.14/3,249.20 = 522.68/x
  3. Step 3: Cross multiply
    2,166.14x = 3,249.20 × 522.68
  4. Step 4: Simplify right side
    2,166.14x = 1,698,291.86
  5. Step 5: Solve for x
    x = 1,698,291.86/2,166.14
  6. Step 6: Final answer
    x = 784.02

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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.