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Finding the Fourth Proportional to 3,011.61, 4,517.37 and 1,063.83

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Solution

The fourth proportional to 3,011.61, 4,517.37 and 1,063.83 is: 1,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.61 : 4,517.37 = 1,063.83 : x
  2. Step 2: Convert to fraction form
    3,011.61/4,517.37 = 1,063.83/x
  3. Step 3: Cross multiply
    3,011.61x = 4,517.37 × 1,063.83
  4. Step 4: Simplify right side
    3,011.61x = 4,805,713.73
  5. Step 5: Solve for x
    x = 4,805,713.73/3,011.61
  6. Step 6: Final answer
    x = 1,595.73

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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.