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Finding the Fourth Proportional to 2,801.41, 4,203.06 and 1,241.80

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Solution

The fourth proportional to 2,801.41, 4,203.06 and 1,241.80 is: 1,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.41 : 4,203.06 = 1,241.80 : x
  2. Step 2: Convert to fraction form
    2,801.41/4,203.06 = 1,241.80/x
  3. Step 3: Cross multiply
    2,801.41x = 4,203.06 × 1,241.80
  4. Step 4: Simplify right side
    2,801.41x = 5,219,359.91
  5. Step 5: Solve for x
    x = 5,219,359.91/2,801.41
  6. Step 6: Final answer
    x = 1,863.12

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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.