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Finding the Fourth Proportional to 2,742.72, 3,785.12 and 1,563.92

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Solution

The fourth proportional to 2,742.72, 3,785.12 and 1,563.92 is: 2,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.72 : 3,785.12 = 1,563.92 : x
  2. Step 2: Convert to fraction form
    2,742.72/3,785.12 = 1,563.92/x
  3. Step 3: Cross multiply
    2,742.72x = 3,785.12 × 1,563.92
  4. Step 4: Simplify right side
    2,742.72x = 5,919,624.87
  5. Step 5: Solve for x
    x = 5,919,624.87/2,742.72
  6. Step 6: Final answer
    x = 2,158.30

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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.