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Finding the Fourth Proportional to 1,952.24, 2,926.73 and 911.69

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Solution

The fourth proportional to 1,952.24, 2,926.73 and 911.69 is: 1,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.24 : 2,926.73 = 911.69 : x
  2. Step 2: Convert to fraction form
    1,952.24/2,926.73 = 911.69/x
  3. Step 3: Cross multiply
    1,952.24x = 2,926.73 × 911.69
  4. Step 4: Simplify right side
    1,952.24x = 2,668,269.09
  5. Step 5: Solve for x
    x = 2,668,269.09/1,952.24
  6. Step 6: Final answer
    x = 1,366.78

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