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Finding the Fourth Proportional to 2,832.76, 4,247.76 and 884.96

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Solution

The fourth proportional to 2,832.76, 4,247.76 and 884.96 is: 1,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.76 : 4,247.76 = 884.96 : x
  2. Step 2: Convert to fraction form
    2,832.76/4,247.76 = 884.96/x
  3. Step 3: Cross multiply
    2,832.76x = 4,247.76 × 884.96
  4. Step 4: Simplify right side
    2,832.76x = 3,759,097.69
  5. Step 5: Solve for x
    x = 3,759,097.69/2,832.76
  6. Step 6: Final answer
    x = 1,327.01

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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.