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Finding the Fourth Proportional to 2,781.02, 3,836.00 and 1,661.19

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Solution

The fourth proportional to 2,781.02, 3,836.00 and 1,661.19 is: 2,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.02 : 3,836.00 = 1,661.19 : x
  2. Step 2: Convert to fraction form
    2,781.02/3,836.00 = 1,661.19/x
  3. Step 3: Cross multiply
    2,781.02x = 3,836.00 × 1,661.19
  4. Step 4: Simplify right side
    2,781.02x = 6,372,316.53
  5. Step 5: Solve for x
    x = 6,372,316.53/2,781.02
  6. Step 6: Final answer
    x = 2,291.36

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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.