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Finding the Fourth Proportional to 2,165.67, 3,252.15 and 2,148.66

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Solution

The fourth proportional to 2,165.67, 3,252.15 and 2,148.66 is: 3,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.67 : 3,252.15 = 2,148.66 : x
  2. Step 2: Convert to fraction form
    2,165.67/3,252.15 = 2,148.66/x
  3. Step 3: Cross multiply
    2,165.67x = 3,252.15 × 2,148.66
  4. Step 4: Simplify right side
    2,165.67x = 6,987,764.62
  5. Step 5: Solve for x
    x = 6,987,764.62/2,165.67
  6. Step 6: Final answer
    x = 3,226.61

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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.