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Finding the Fourth Proportional to 4,312.25, 6,467.01 and 1,679.59

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Solution

The fourth proportional to 4,312.25, 6,467.01 and 1,679.59 is: 2,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.25 : 6,467.01 = 1,679.59 : x
  2. Step 2: Convert to fraction form
    4,312.25/6,467.01 = 1,679.59/x
  3. Step 3: Cross multiply
    4,312.25x = 6,467.01 × 1,679.59
  4. Step 4: Simplify right side
    4,312.25x = 10,861,890.73
  5. Step 5: Solve for x
    x = 10,861,890.73/4,312.25
  6. Step 6: Final answer
    x = 2,518.84

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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.