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Finding the Fourth Proportional to 2,804.35, 4,205.22 and 2,021.08

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Solution

The fourth proportional to 2,804.35, 4,205.22 and 2,021.08 is: 3,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.35 : 4,205.22 = 2,021.08 : x
  2. Step 2: Convert to fraction form
    2,804.35/4,205.22 = 2,021.08/x
  3. Step 3: Cross multiply
    2,804.35x = 4,205.22 × 2,021.08
  4. Step 4: Simplify right side
    2,804.35x = 8,499,086.04
  5. Step 5: Solve for x
    x = 8,499,086.04/2,804.35
  6. Step 6: Final answer
    x = 3,030.68

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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.