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Finding the Fourth Proportional to 1,920.94, 2,643.61 and 1,744.27

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Solution

The fourth proportional to 1,920.94, 2,643.61 and 1,744.27 is: 2,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,643.61 = 1,744.27 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,643.61 = 1,744.27/x
  3. Step 3: Cross multiply
    1,920.94x = 2,643.61 × 1,744.27
  4. Step 4: Simplify right side
    1,920.94x = 4,611,177.97
  5. Step 5: Solve for x
    x = 4,611,177.97/1,920.94
  6. Step 6: Final answer
    x = 2,400.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.