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Finding the Fourth Proportional to 2,033.58, 3,052.89 and 2,024.22

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Solution

The fourth proportional to 2,033.58, 3,052.89 and 2,024.22 is: 3,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.58 : 3,052.89 = 2,024.22 : x
  2. Step 2: Convert to fraction form
    2,033.58/3,052.89 = 2,024.22/x
  3. Step 3: Cross multiply
    2,033.58x = 3,052.89 × 2,024.22
  4. Step 4: Simplify right side
    2,033.58x = 6,179,721.00
  5. Step 5: Solve for x
    x = 6,179,721.00/2,033.58
  6. Step 6: Final answer
    x = 3,038.84

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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.