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Finding the Fourth Proportional to 1,285.55, 1,930.15 and 1,226.83

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Solution

The fourth proportional to 1,285.55, 1,930.15 and 1,226.83 is: 1,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.55 : 1,930.15 = 1,226.83 : x
  2. Step 2: Convert to fraction form
    1,285.55/1,930.15 = 1,226.83/x
  3. Step 3: Cross multiply
    1,285.55x = 1,930.15 × 1,226.83
  4. Step 4: Simplify right side
    1,285.55x = 2,367,958.03
  5. Step 5: Solve for x
    x = 2,367,958.03/1,285.55
  6. Step 6: Final answer
    x = 1,841.98

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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.