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Finding the Fourth Proportional to 2,230.94, 3,352.46 and 1,191.66

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Solution

The fourth proportional to 2,230.94, 3,352.46 and 1,191.66 is: 1,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.94 : 3,352.46 = 1,191.66 : x
  2. Step 2: Convert to fraction form
    2,230.94/3,352.46 = 1,191.66/x
  3. Step 3: Cross multiply
    2,230.94x = 3,352.46 × 1,191.66
  4. Step 4: Simplify right side
    2,230.94x = 3,994,986.53
  5. Step 5: Solve for x
    x = 3,994,986.53/2,230.94
  6. Step 6: Final answer
    x = 1,790.72

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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.