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Finding the Fourth Proportional to 2,917.28, 4,022 and 2,245.84

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Solution

The fourth proportional to 2,917.28, 4,022 and 2,245.84 is: 3,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.28 : 4,022 = 2,245.84 : x
  2. Step 2: Convert to fraction form
    2,917.28/4,022 = 2,245.84/x
  3. Step 3: Cross multiply
    2,917.28x = 4,022 × 2,245.84
  4. Step 4: Simplify right side
    2,917.28x = 9,032,768.48
  5. Step 5: Solve for x
    x = 9,032,768.48/2,917.28
  6. Step 6: Final answer
    x = 3,096.30

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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.