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Finding the Fourth Proportional to 2,527.56, 3,791.20 and 967.44

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Solution

The fourth proportional to 2,527.56, 3,791.20 and 967.44 is: 1,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.56 : 3,791.20 = 967.44 : x
  2. Step 2: Convert to fraction form
    2,527.56/3,791.20 = 967.44/x
  3. Step 3: Cross multiply
    2,527.56x = 3,791.20 × 967.44
  4. Step 4: Simplify right side
    2,527.56x = 3,667,758.53
  5. Step 5: Solve for x
    x = 3,667,758.53/2,527.56
  6. Step 6: Final answer
    x = 1,451.11

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1.5x scale

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.