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Finding the Fourth Proportional to 2,735.74, 3,777.05 and 1,896.15

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Solution

The fourth proportional to 2,735.74, 3,777.05 and 1,896.15 is: 2,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.74 : 3,777.05 = 1,896.15 : x
  2. Step 2: Convert to fraction form
    2,735.74/3,777.05 = 1,896.15/x
  3. Step 3: Cross multiply
    2,735.74x = 3,777.05 × 1,896.15
  4. Step 4: Simplify right side
    2,735.74x = 7,161,853.36
  5. Step 5: Solve for x
    x = 7,161,853.36/2,735.74
  6. Step 6: Final answer
    x = 2,617.89

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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.