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Finding the Fourth Proportional to 2,755.69, 3,802.96 and 1,637.22

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Solution

The fourth proportional to 2,755.69, 3,802.96 and 1,637.22 is: 2,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.69 : 3,802.96 = 1,637.22 : x
  2. Step 2: Convert to fraction form
    2,755.69/3,802.96 = 1,637.22/x
  3. Step 3: Cross multiply
    2,755.69x = 3,802.96 × 1,637.22
  4. Step 4: Simplify right side
    2,755.69x = 6,226,282.17
  5. Step 5: Solve for x
    x = 6,226,282.17/2,755.69
  6. Step 6: Final answer
    x = 2,259.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.