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Finding the Fourth Proportional to 3,175.40, 4,754.46 and 1,633.16

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Solution

The fourth proportional to 3,175.40, 4,754.46 and 1,633.16 is: 2,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.40 : 4,754.46 = 1,633.16 : x
  2. Step 2: Convert to fraction form
    3,175.40/4,754.46 = 1,633.16/x
  3. Step 3: Cross multiply
    3,175.40x = 4,754.46 × 1,633.16
  4. Step 4: Simplify right side
    3,175.40x = 7,764,793.89
  5. Step 5: Solve for x
    x = 7,764,793.89/3,175.40
  6. Step 6: Final answer
    x = 2,445.30

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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.