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Finding the Fourth Proportional to 2,166.08, 3,249.10 and 522.62

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Solution

The fourth proportional to 2,166.08, 3,249.10 and 522.62 is: 783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.08 : 3,249.10 = 522.62 : x
  2. Step 2: Convert to fraction form
    2,166.08/3,249.10 = 522.62/x
  3. Step 3: Cross multiply
    2,166.08x = 3,249.10 × 522.62
  4. Step 4: Simplify right side
    2,166.08x = 1,698,025.78
  5. Step 5: Solve for x
    x = 1,698,025.78/2,166.08
  6. Step 6: Final answer
    x = 783.92

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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.