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Finding the Fourth Proportional to 2,753.64, 4,099.26 and 2,739.06

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Solution

The fourth proportional to 2,753.64, 4,099.26 and 2,739.06 is: 4,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.64 : 4,099.26 = 2,739.06 : x
  2. Step 2: Convert to fraction form
    2,753.64/4,099.26 = 2,739.06/x
  3. Step 3: Cross multiply
    2,753.64x = 4,099.26 × 2,739.06
  4. Step 4: Simplify right side
    2,753.64x = 11,228,119.10
  5. Step 5: Solve for x
    x = 11,228,119.10/2,753.64
  6. Step 6: Final answer
    x = 4,077.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.