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Finding the Fourth Proportional to 2,018.70, 3,028.86 and 849.06

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Solution

The fourth proportional to 2,018.70, 3,028.86 and 849.06 is: 1,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.70 : 3,028.86 = 849.06 : x
  2. Step 2: Convert to fraction form
    2,018.70/3,028.86 = 849.06/x
  3. Step 3: Cross multiply
    2,018.70x = 3,028.86 × 849.06
  4. Step 4: Simplify right side
    2,018.70x = 2,571,683.87
  5. Step 5: Solve for x
    x = 2,571,683.87/2,018.70
  6. Step 6: Final answer
    x = 1,273.93

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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.