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Finding the Fourth Proportional to 1,622.71, 2,433.94 and 927.19

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Solution

The fourth proportional to 1,622.71, 2,433.94 and 927.19 is: 1,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.71 : 2,433.94 = 927.19 : x
  2. Step 2: Convert to fraction form
    1,622.71/2,433.94 = 927.19/x
  3. Step 3: Cross multiply
    1,622.71x = 2,433.94 × 927.19
  4. Step 4: Simplify right side
    1,622.71x = 2,256,724.83
  5. Step 5: Solve for x
    x = 2,256,724.83/1,622.71
  6. Step 6: Final answer
    x = 1,390.71

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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.