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Finding the Fourth Proportional to 2,166.35, 3,251.14 and 1,345.82

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Solution

The fourth proportional to 2,166.35, 3,251.14 and 1,345.82 is: 2,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.35 : 3,251.14 = 1,345.82 : x
  2. Step 2: Convert to fraction form
    2,166.35/3,251.14 = 1,345.82/x
  3. Step 3: Cross multiply
    2,166.35x = 3,251.14 × 1,345.82
  4. Step 4: Simplify right side
    2,166.35x = 4,375,429.61
  5. Step 5: Solve for x
    x = 4,375,429.61/2,166.35
  6. Step 6: Final answer
    x = 2,019.73

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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.