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Finding the Fourth Proportional to 3,162.87, 4,743.68 and 1,431.09

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Solution

The fourth proportional to 3,162.87, 4,743.68 and 1,431.09 is: 2,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.87 : 4,743.68 = 1,431.09 : x
  2. Step 2: Convert to fraction form
    3,162.87/4,743.68 = 1,431.09/x
  3. Step 3: Cross multiply
    3,162.87x = 4,743.68 × 1,431.09
  4. Step 4: Simplify right side
    3,162.87x = 6,788,625.86
  5. Step 5: Solve for x
    x = 6,788,625.86/3,162.87
  6. Step 6: Final answer
    x = 2,146.35

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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.