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Finding the Fourth Proportional to 4,200.81, 6,301.22 and 1,279.14

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Solution

The fourth proportional to 4,200.81, 6,301.22 and 1,279.14 is: 1,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.81 : 6,301.22 = 1,279.14 : x
  2. Step 2: Convert to fraction form
    4,200.81/6,301.22 = 1,279.14/x
  3. Step 3: Cross multiply
    4,200.81x = 6,301.22 × 1,279.14
  4. Step 4: Simplify right side
    4,200.81x = 8,060,166.98
  5. Step 5: Solve for x
    x = 8,060,166.98/4,200.81
  6. Step 6: Final answer
    x = 1,918.72

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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.