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Finding the Fourth Proportional to 2,528.37, 3,791.70 and 884.88

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Solution

The fourth proportional to 2,528.37, 3,791.70 and 884.88 is: 1,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.37 : 3,791.70 = 884.88 : x
  2. Step 2: Convert to fraction form
    2,528.37/3,791.70 = 884.88/x
  3. Step 3: Cross multiply
    2,528.37x = 3,791.70 × 884.88
  4. Step 4: Simplify right side
    2,528.37x = 3,355,199.50
  5. Step 5: Solve for x
    x = 3,355,199.50/2,528.37
  6. Step 6: Final answer
    x = 1,327.02

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Why These Related Problems?

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