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Finding the Fourth Proportional to 2,068.82, 3,103.23 and 529.82

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Solution

The fourth proportional to 2,068.82, 3,103.23 and 529.82 is: 794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.82 : 3,103.23 = 529.82 : x
  2. Step 2: Convert to fraction form
    2,068.82/3,103.23 = 529.82/x
  3. Step 3: Cross multiply
    2,068.82x = 3,103.23 × 529.82
  4. Step 4: Simplify right side
    2,068.82x = 1,644,162.15
  5. Step 5: Solve for x
    x = 1,644,162.15/2,068.82
  6. Step 6: Final answer
    x = 794.73

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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.