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Finding the Fourth Proportional to 2,803.70, 4,205.55 and 2,022.05

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Solution

The fourth proportional to 2,803.70, 4,205.55 and 2,022.05 is: 3,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.70 : 4,205.55 = 2,022.05 : x
  2. Step 2: Convert to fraction form
    2,803.70/4,205.55 = 2,022.05/x
  3. Step 3: Cross multiply
    2,803.70x = 4,205.55 × 2,022.05
  4. Step 4: Simplify right side
    2,803.70x = 8,503,832.38
  5. Step 5: Solve for x
    x = 8,503,832.38/2,803.70
  6. Step 6: Final answer
    x = 3,033.08

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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.