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Finding the Fourth Proportional to 2,801.46, 4,202.20 and 1,262.46

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Solution

The fourth proportional to 2,801.46, 4,202.20 and 1,262.46 is: 1,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.46 : 4,202.20 = 1,262.46 : x
  2. Step 2: Convert to fraction form
    2,801.46/4,202.20 = 1,262.46/x
  3. Step 3: Cross multiply
    2,801.46x = 4,202.20 × 1,262.46
  4. Step 4: Simplify right side
    2,801.46x = 5,305,109.41
  5. Step 5: Solve for x
    x = 5,305,109.41/2,801.46
  6. Step 6: Final answer
    x = 1,893.69

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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.