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Finding the Fourth Proportional to 3,171.83, 4,758.87 and 1,416.67

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Solution

The fourth proportional to 3,171.83, 4,758.87 and 1,416.67 is: 2,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.83 : 4,758.87 = 1,416.67 : x
  2. Step 2: Convert to fraction form
    3,171.83/4,758.87 = 1,416.67/x
  3. Step 3: Cross multiply
    3,171.83x = 4,758.87 × 1,416.67
  4. Step 4: Simplify right side
    3,171.83x = 6,741,754.31
  5. Step 5: Solve for x
    x = 6,741,754.31/3,171.83
  6. Step 6: Final answer
    x = 2,125.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.