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Finding the Fourth Proportional to 2,755.21, 3,802.63 and 1,809.33

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Solution

The fourth proportional to 2,755.21, 3,802.63 and 1,809.33 is: 2,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.21 : 3,802.63 = 1,809.33 : x
  2. Step 2: Convert to fraction form
    2,755.21/3,802.63 = 1,809.33/x
  3. Step 3: Cross multiply
    2,755.21x = 3,802.63 × 1,809.33
  4. Step 4: Simplify right side
    2,755.21x = 6,880,212.54
  5. Step 5: Solve for x
    x = 6,880,212.54/2,755.21
  6. Step 6: Final answer
    x = 2,497.16

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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.