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Finding the Fourth Proportional to 3,171.41, 4,758.24 and 1,416.25

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Solution

The fourth proportional to 3,171.41, 4,758.24 and 1,416.25 is: 2,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.41 : 4,758.24 = 1,416.25 : x
  2. Step 2: Convert to fraction form
    3,171.41/4,758.24 = 1,416.25/x
  3. Step 3: Cross multiply
    3,171.41x = 4,758.24 × 1,416.25
  4. Step 4: Simplify right side
    3,171.41x = 6,738,857.40
  5. Step 5: Solve for x
    x = 6,738,857.40/3,171.41
  6. Step 6: Final answer
    x = 2,124.88

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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.