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Finding the Fourth Proportional to 1,941.30, 2,905.11 and 1,211.22

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Solution

The fourth proportional to 1,941.30, 2,905.11 and 1,211.22 is: 1,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.30 : 2,905.11 = 1,211.22 : x
  2. Step 2: Convert to fraction form
    1,941.30/2,905.11 = 1,211.22/x
  3. Step 3: Cross multiply
    1,941.30x = 2,905.11 × 1,211.22
  4. Step 4: Simplify right side
    1,941.30x = 3,518,727.33
  5. Step 5: Solve for x
    x = 3,518,727.33/1,941.30
  6. Step 6: Final answer
    x = 1,812.56

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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.