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Finding the Fourth Proportional to 1,791.27, 2,687.66 and 970.12

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Solution

The fourth proportional to 1,791.27, 2,687.66 and 970.12 is: 1,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.27 : 2,687.66 = 970.12 : x
  2. Step 2: Convert to fraction form
    1,791.27/2,687.66 = 970.12/x
  3. Step 3: Cross multiply
    1,791.27x = 2,687.66 × 970.12
  4. Step 4: Simplify right side
    1,791.27x = 2,607,352.72
  5. Step 5: Solve for x
    x = 2,607,352.72/1,791.27
  6. Step 6: Final answer
    x = 1,455.59

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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.