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Finding the Fourth Proportional to 1,960.81, 2,941.92 and 986.18

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Solution

The fourth proportional to 1,960.81, 2,941.92 and 986.18 is: 1,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.81 : 2,941.92 = 986.18 : x
  2. Step 2: Convert to fraction form
    1,960.81/2,941.92 = 986.18/x
  3. Step 3: Cross multiply
    1,960.81x = 2,941.92 × 986.18
  4. Step 4: Simplify right side
    1,960.81x = 2,901,247.96
  5. Step 5: Solve for x
    x = 2,901,247.96/1,960.81
  6. Step 6: Final answer
    x = 1,479.62

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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.