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Finding the Fourth Proportional to 1,230.95, 1,847.79 and 1,226.39

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Solution

The fourth proportional to 1,230.95, 1,847.79 and 1,226.39 is: 1,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.95 : 1,847.79 = 1,226.39 : x
  2. Step 2: Convert to fraction form
    1,230.95/1,847.79 = 1,226.39/x
  3. Step 3: Cross multiply
    1,230.95x = 1,847.79 × 1,226.39
  4. Step 4: Simplify right side
    1,230.95x = 2,266,101.94
  5. Step 5: Solve for x
    x = 2,266,101.94/1,230.95
  6. Step 6: Final answer
    x = 1,840.93

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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.