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Finding the Fourth Proportional to 2,896.28, 3,978.17 and 2,840.94

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Solution

The fourth proportional to 2,896.28, 3,978.17 and 2,840.94 is: 3,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.28 : 3,978.17 = 2,840.94 : x
  2. Step 2: Convert to fraction form
    2,896.28/3,978.17 = 2,840.94/x
  3. Step 3: Cross multiply
    2,896.28x = 3,978.17 × 2,840.94
  4. Step 4: Simplify right side
    2,896.28x = 11,301,742.28
  5. Step 5: Solve for x
    x = 11,301,742.28/2,896.28
  6. Step 6: Final answer
    x = 3,902.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.