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Finding the Fourth Proportional to 2,028.98, 3,044.82 and 730.46

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Solution

The fourth proportional to 2,028.98, 3,044.82 and 730.46 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.98 : 3,044.82 = 730.46 : x
  2. Step 2: Convert to fraction form
    2,028.98/3,044.82 = 730.46/x
  3. Step 3: Cross multiply
    2,028.98x = 3,044.82 × 730.46
  4. Step 4: Simplify right side
    2,028.98x = 2,224,119.22
  5. Step 5: Solve for x
    x = 2,224,119.22/2,028.98
  6. Step 6: Final answer
    x = 1,096.18

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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.