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Finding the Fourth Proportional to 2,194.80, 3,028.82 and 1,355.31

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Solution

The fourth proportional to 2,194.80, 3,028.82 and 1,355.31 is: 1,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.80 : 3,028.82 = 1,355.31 : x
  2. Step 2: Convert to fraction form
    2,194.80/3,028.82 = 1,355.31/x
  3. Step 3: Cross multiply
    2,194.80x = 3,028.82 × 1,355.31
  4. Step 4: Simplify right side
    2,194.80x = 4,104,983.26
  5. Step 5: Solve for x
    x = 4,104,983.26/2,194.80
  6. Step 6: Final answer
    x = 1,870.32

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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.