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Finding the Fourth Proportional to 3,174.33, 4,763.46 and 1,531.04

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Solution

The fourth proportional to 3,174.33, 4,763.46 and 1,531.04 is: 2,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.33 : 4,763.46 = 1,531.04 : x
  2. Step 2: Convert to fraction form
    3,174.33/4,763.46 = 1,531.04/x
  3. Step 3: Cross multiply
    3,174.33x = 4,763.46 × 1,531.04
  4. Step 4: Simplify right side
    3,174.33x = 7,293,047.80
  5. Step 5: Solve for x
    x = 7,293,047.80/3,174.33
  6. Step 6: Final answer
    x = 2,297.51

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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.