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Finding the Fourth Proportional to 2,527.44, 3,791.79 and 884.01

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Solution

The fourth proportional to 2,527.44, 3,791.79 and 884.01 is: 1,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.44 : 3,791.79 = 884.01 : x
  2. Step 2: Convert to fraction form
    2,527.44/3,791.79 = 884.01/x
  3. Step 3: Cross multiply
    2,527.44x = 3,791.79 × 884.01
  4. Step 4: Simplify right side
    2,527.44x = 3,351,980.28
  5. Step 5: Solve for x
    x = 3,351,980.28/2,527.44
  6. Step 6: Final answer
    x = 1,326.24

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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.