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Finding the Fourth Proportional to 2,028.44, 3,043.20 and 730.04

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Solution

The fourth proportional to 2,028.44, 3,043.20 and 730.04 is: 1,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.44 : 3,043.20 = 730.04 : x
  2. Step 2: Convert to fraction form
    2,028.44/3,043.20 = 730.04/x
  3. Step 3: Cross multiply
    2,028.44x = 3,043.20 × 730.04
  4. Step 4: Simplify right side
    2,028.44x = 2,221,657.73
  5. Step 5: Solve for x
    x = 2,221,657.73/2,028.44
  6. Step 6: Final answer
    x = 1,095.25

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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.