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Finding the Fourth Proportional to 3,173.94, 4,759.13 and 2,174.42

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Solution

The fourth proportional to 3,173.94, 4,759.13 and 2,174.42 is: 3,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.94 : 4,759.13 = 2,174.42 : x
  2. Step 2: Convert to fraction form
    3,173.94/4,759.13 = 2,174.42/x
  3. Step 3: Cross multiply
    3,173.94x = 4,759.13 × 2,174.42
  4. Step 4: Simplify right side
    3,173.94x = 10,348,347.77
  5. Step 5: Solve for x
    x = 10,348,347.77/3,173.94
  6. Step 6: Final answer
    x = 3,260.41

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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.