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Finding the Fourth Proportional to 2,896.36, 3,997.05 and 1,776.66

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Solution

The fourth proportional to 2,896.36, 3,997.05 and 1,776.66 is: 2,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.36 : 3,997.05 = 1,776.66 : x
  2. Step 2: Convert to fraction form
    2,896.36/3,997.05 = 1,776.66/x
  3. Step 3: Cross multiply
    2,896.36x = 3,997.05 × 1,776.66
  4. Step 4: Simplify right side
    2,896.36x = 7,101,398.85
  5. Step 5: Solve for x
    x = 7,101,398.85/2,896.36
  6. Step 6: Final answer
    x = 2,451.84

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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.