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Finding the Fourth Proportional to 1,965.79, 2,943.82 and 1,233.15

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Solution

The fourth proportional to 1,965.79, 2,943.82 and 1,233.15 is: 1,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.79 : 2,943.82 = 1,233.15 : x
  2. Step 2: Convert to fraction form
    1,965.79/2,943.82 = 1,233.15/x
  3. Step 3: Cross multiply
    1,965.79x = 2,943.82 × 1,233.15
  4. Step 4: Simplify right side
    1,965.79x = 3,630,171.63
  5. Step 5: Solve for x
    x = 3,630,171.63/1,965.79
  6. Step 6: Final answer
    x = 1,846.67

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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.