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Finding the Fourth Proportional to 2,527.19, 3,791.87 and 967.66

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Solution

The fourth proportional to 2,527.19, 3,791.87 and 967.66 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.19 : 3,791.87 = 967.66 : x
  2. Step 2: Convert to fraction form
    2,527.19/3,791.87 = 967.66/x
  3. Step 3: Cross multiply
    2,527.19x = 3,791.87 × 967.66
  4. Step 4: Simplify right side
    2,527.19x = 3,669,240.92
  5. Step 5: Solve for x
    x = 3,669,240.92/2,527.19
  6. Step 6: Final answer
    x = 1,451.91

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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.