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Finding the Fourth Proportional to 2,271.96, 3,400.56 and 2,107.92

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Solution

The fourth proportional to 2,271.96, 3,400.56 and 2,107.92 is: 3,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.96 : 3,400.56 = 2,107.92 : x
  2. Step 2: Convert to fraction form
    2,271.96/3,400.56 = 2,107.92/x
  3. Step 3: Cross multiply
    2,271.96x = 3,400.56 × 2,107.92
  4. Step 4: Simplify right side
    2,271.96x = 7,168,108.44
  5. Step 5: Solve for x
    x = 7,168,108.44/2,271.96
  6. Step 6: Final answer
    x = 3,155.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.