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Finding the Fourth Proportional to 1,969.26, 2,949.63 and 927.70

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Solution

The fourth proportional to 1,969.26, 2,949.63 and 927.70 is: 1,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.26 : 2,949.63 = 927.70 : x
  2. Step 2: Convert to fraction form
    1,969.26/2,949.63 = 927.70/x
  3. Step 3: Cross multiply
    1,969.26x = 2,949.63 × 927.70
  4. Step 4: Simplify right side
    1,969.26x = 2,736,371.75
  5. Step 5: Solve for x
    x = 2,736,371.75/1,969.26
  6. Step 6: Final answer
    x = 1,389.54

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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.