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Finding the Fourth Proportional to 2,028.66, 3,039.46 and 1,980.22

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Solution

The fourth proportional to 2,028.66, 3,039.46 and 1,980.22 is: 2,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.66 : 3,039.46 = 1,980.22 : x
  2. Step 2: Convert to fraction form
    2,028.66/3,039.46 = 1,980.22/x
  3. Step 3: Cross multiply
    2,028.66x = 3,039.46 × 1,980.22
  4. Step 4: Simplify right side
    2,028.66x = 6,018,799.48
  5. Step 5: Solve for x
    x = 6,018,799.48/2,028.66
  6. Step 6: Final answer
    x = 2,966.88

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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.