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Finding the Fourth Proportional to 3,174.51, 4,759.03 and 1,228.08

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Solution

The fourth proportional to 3,174.51, 4,759.03 and 1,228.08 is: 1,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.51 : 4,759.03 = 1,228.08 : x
  2. Step 2: Convert to fraction form
    3,174.51/4,759.03 = 1,228.08/x
  3. Step 3: Cross multiply
    3,174.51x = 4,759.03 × 1,228.08
  4. Step 4: Simplify right side
    3,174.51x = 5,844,469.56
  5. Step 5: Solve for x
    x = 5,844,469.56/3,174.51
  6. Step 6: Final answer
    x = 1,841.06

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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.