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Finding the Fourth Proportional to 2,021.77, 3,029.41 and 1,827.37

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Solution

The fourth proportional to 2,021.77, 3,029.41 and 1,827.37 is: 2,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.77 : 3,029.41 = 1,827.37 : x
  2. Step 2: Convert to fraction form
    2,021.77/3,029.41 = 1,827.37/x
  3. Step 3: Cross multiply
    2,021.77x = 3,029.41 × 1,827.37
  4. Step 4: Simplify right side
    2,021.77x = 5,535,852.95
  5. Step 5: Solve for x
    x = 5,535,852.95/2,021.77
  6. Step 6: Final answer
    x = 2,738.12

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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.