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Finding the Fourth Proportional to 3,175.20, 4,761.18 and 983.64

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Solution

The fourth proportional to 3,175.20, 4,761.18 and 983.64 is: 1,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.20 : 4,761.18 = 983.64 : x
  2. Step 2: Convert to fraction form
    3,175.20/4,761.18 = 983.64/x
  3. Step 3: Cross multiply
    3,175.20x = 4,761.18 × 983.64
  4. Step 4: Simplify right side
    3,175.20x = 4,683,287.10
  5. Step 5: Solve for x
    x = 4,683,287.10/3,175.20
  6. Step 6: Final answer
    x = 1,474.96

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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.