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Finding the Fourth Proportional to 2,021.52, 3,029.04 and 1,827.12

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Solution

The fourth proportional to 2,021.52, 3,029.04 and 1,827.12 is: 2,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.52 : 3,029.04 = 1,827.12 : x
  2. Step 2: Convert to fraction form
    2,021.52/3,029.04 = 1,827.12/x
  3. Step 3: Cross multiply
    2,021.52x = 3,029.04 × 1,827.12
  4. Step 4: Simplify right side
    2,021.52x = 5,534,419.56
  5. Step 5: Solve for x
    x = 5,534,419.56/2,021.52
  6. Step 6: Final answer
    x = 2,737.75

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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.