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Finding the Fourth Proportional to 2,736.02, 3,775.10 and 1,616.19

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Solution

The fourth proportional to 2,736.02, 3,775.10 and 1,616.19 is: 2,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.02 : 3,775.10 = 1,616.19 : x
  2. Step 2: Convert to fraction form
    2,736.02/3,775.10 = 1,616.19/x
  3. Step 3: Cross multiply
    2,736.02x = 3,775.10 × 1,616.19
  4. Step 4: Simplify right side
    2,736.02x = 6,101,270.79
  5. Step 5: Solve for x
    x = 6,101,270.79/2,736.02
  6. Step 6: Final answer
    x = 2,229.98

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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.