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Finding the Fourth Proportional to 2,802.44, 4,204.74 and 1,241.66

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Solution

The fourth proportional to 2,802.44, 4,204.74 and 1,241.66 is: 1,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.44 : 4,204.74 = 1,241.66 : x
  2. Step 2: Convert to fraction form
    2,802.44/4,204.74 = 1,241.66/x
  3. Step 3: Cross multiply
    2,802.44x = 4,204.74 × 1,241.66
  4. Step 4: Simplify right side
    2,802.44x = 5,220,857.47
  5. Step 5: Solve for x
    x = 5,220,857.47/2,802.44
  6. Step 6: Final answer
    x = 1,862.97

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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.