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Finding the Fourth Proportional to 2,062.35, 3,093.66 and 967.77

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Solution

The fourth proportional to 2,062.35, 3,093.66 and 967.77 is: 1,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.35 : 3,093.66 = 967.77 : x
  2. Step 2: Convert to fraction form
    2,062.35/3,093.66 = 967.77/x
  3. Step 3: Cross multiply
    2,062.35x = 3,093.66 × 967.77
  4. Step 4: Simplify right side
    2,062.35x = 2,993,951.34
  5. Step 5: Solve for x
    x = 2,993,951.34/2,062.35
  6. Step 6: Final answer
    x = 1,451.72

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Why These Related Problems?

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