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Finding the Fourth Proportional to 2,028.33, 3,042.61 and 989.22

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Solution

The fourth proportional to 2,028.33, 3,042.61 and 989.22 is: 1,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.33 : 3,042.61 = 989.22 : x
  2. Step 2: Convert to fraction form
    2,028.33/3,042.61 = 989.22/x
  3. Step 3: Cross multiply
    2,028.33x = 3,042.61 × 989.22
  4. Step 4: Simplify right side
    2,028.33x = 3,009,803.93
  5. Step 5: Solve for x
    x = 3,009,803.93/2,028.33
  6. Step 6: Final answer
    x = 1,483.88

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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.