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Finding the Fourth Proportional to 2,841.72, 4,262.96 and 1,262.20

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Solution

The fourth proportional to 2,841.72, 4,262.96 and 1,262.20 is: 1,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.72 : 4,262.96 = 1,262.20 : x
  2. Step 2: Convert to fraction form
    2,841.72/4,262.96 = 1,262.20/x
  3. Step 3: Cross multiply
    2,841.72x = 4,262.96 × 1,262.20
  4. Step 4: Simplify right side
    2,841.72x = 5,380,708.11
  5. Step 5: Solve for x
    x = 5,380,708.11/2,841.72
  6. Step 6: Final answer
    x = 1,893.47

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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.