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Finding the Fourth Proportional to 2,755.59, 3,802.62 and 1,496.60

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Solution

The fourth proportional to 2,755.59, 3,802.62 and 1,496.60 is: 2,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.59 : 3,802.62 = 1,496.60 : x
  2. Step 2: Convert to fraction form
    2,755.59/3,802.62 = 1,496.60/x
  3. Step 3: Cross multiply
    2,755.59x = 3,802.62 × 1,496.60
  4. Step 4: Simplify right side
    2,755.59x = 5,691,001.09
  5. Step 5: Solve for x
    x = 5,691,001.09/2,755.59
  6. Step 6: Final answer
    x = 2,065.26

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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.