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Finding the Fourth Proportional to 2,107.28, 2,906.16 and 1,321.44

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Solution

The fourth proportional to 2,107.28, 2,906.16 and 1,321.44 is: 1,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.28 : 2,906.16 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    2,107.28/2,906.16 = 1,321.44/x
  3. Step 3: Cross multiply
    2,107.28x = 2,906.16 × 1,321.44
  4. Step 4: Simplify right side
    2,107.28x = 3,840,316.07
  5. Step 5: Solve for x
    x = 3,840,316.07/2,107.28
  6. Step 6: Final answer
    x = 1,822.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.