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Finding the Fourth Proportional to 3,172.28, 4,758.64 and 981.18

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Solution

The fourth proportional to 3,172.28, 4,758.64 and 981.18 is: 1,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.28 : 4,758.64 = 981.18 : x
  2. Step 2: Convert to fraction form
    3,172.28/4,758.64 = 981.18/x
  3. Step 3: Cross multiply
    3,172.28x = 4,758.64 × 981.18
  4. Step 4: Simplify right side
    3,172.28x = 4,669,079.94
  5. Step 5: Solve for x
    x = 4,669,079.94/3,172.28
  6. Step 6: Final answer
    x = 1,471.84

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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.