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Finding the Fourth Proportional to 2,735.16, 3,773.28 and 1,616.10

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Solution

The fourth proportional to 2,735.16, 3,773.28 and 1,616.10 is: 2,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.16 : 3,773.28 = 1,616.10 : x
  2. Step 2: Convert to fraction form
    2,735.16/3,773.28 = 1,616.10/x
  3. Step 3: Cross multiply
    2,735.16x = 3,773.28 × 1,616.10
  4. Step 4: Simplify right side
    2,735.16x = 6,097,997.81
  5. Step 5: Solve for x
    x = 6,097,997.81/2,735.16
  6. Step 6: Final answer
    x = 2,229.48

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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.