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Finding the Fourth Proportional to 1,285.68, 1,930.33 and 1,226.95

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Solution

The fourth proportional to 1,285.68, 1,930.33 and 1,226.95 is: 1,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.68 : 1,930.33 = 1,226.95 : x
  2. Step 2: Convert to fraction form
    1,285.68/1,930.33 = 1,226.95/x
  3. Step 3: Cross multiply
    1,285.68x = 1,930.33 × 1,226.95
  4. Step 4: Simplify right side
    1,285.68x = 2,368,418.39
  5. Step 5: Solve for x
    x = 2,368,418.39/1,285.68
  6. Step 6: Final answer
    x = 1,842.15

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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.