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Finding the Fourth Proportional to 1,960.96, 2,941.29 and 727.81

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Solution

The fourth proportional to 1,960.96, 2,941.29 and 727.81 is: 1,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.96 : 2,941.29 = 727.81 : x
  2. Step 2: Convert to fraction form
    1,960.96/2,941.29 = 727.81/x
  3. Step 3: Cross multiply
    1,960.96x = 2,941.29 × 727.81
  4. Step 4: Simplify right side
    1,960.96x = 2,140,700.27
  5. Step 5: Solve for x
    x = 2,140,700.27/1,960.96
  6. Step 6: Final answer
    x = 1,091.66

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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.