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Finding the Fourth Proportional to 2,964.72, 4,447.08 and 773.43

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Solution

The fourth proportional to 2,964.72, 4,447.08 and 773.43 is: 1,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.72 : 4,447.08 = 773.43 : x
  2. Step 2: Convert to fraction form
    2,964.72/4,447.08 = 773.43/x
  3. Step 3: Cross multiply
    2,964.72x = 4,447.08 × 773.43
  4. Step 4: Simplify right side
    2,964.72x = 3,439,492.49
  5. Step 5: Solve for x
    x = 3,439,492.49/2,964.72
  6. Step 6: Final answer
    x = 1,160.14

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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.