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Finding the Fourth Proportional to 2,792.72, 4,189.84 and 2,271.43

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Solution

The fourth proportional to 2,792.72, 4,189.84 and 2,271.43 is: 3,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.72 : 4,189.84 = 2,271.43 : x
  2. Step 2: Convert to fraction form
    2,792.72/4,189.84 = 2,271.43/x
  3. Step 3: Cross multiply
    2,792.72x = 4,189.84 × 2,271.43
  4. Step 4: Simplify right side
    2,792.72x = 9,516,928.27
  5. Step 5: Solve for x
    x = 9,516,928.27/2,792.72
  6. Step 6: Final answer
    x = 3,407.76

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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.