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Finding the Fourth Proportional to 3,173.28, 4,760.14 and 982.18

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Solution

The fourth proportional to 3,173.28, 4,760.14 and 982.18 is: 1,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.28 : 4,760.14 = 982.18 : x
  2. Step 2: Convert to fraction form
    3,173.28/4,760.14 = 982.18/x
  3. Step 3: Cross multiply
    3,173.28x = 4,760.14 × 982.18
  4. Step 4: Simplify right side
    3,173.28x = 4,675,314.31
  5. Step 5: Solve for x
    x = 4,675,314.31/3,173.28
  6. Step 6: Final answer
    x = 1,473.34

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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.