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Finding the Fourth Proportional to 3,072.84, 4,238.19 and 2,023.08

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Solution

The fourth proportional to 3,072.84, 4,238.19 and 2,023.08 is: 2,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.84 : 4,238.19 = 2,023.08 : x
  2. Step 2: Convert to fraction form
    3,072.84/4,238.19 = 2,023.08/x
  3. Step 3: Cross multiply
    3,072.84x = 4,238.19 × 2,023.08
  4. Step 4: Simplify right side
    3,072.84x = 8,574,197.43
  5. Step 5: Solve for x
    x = 8,574,197.43/3,072.84
  6. Step 6: Final answer
    x = 2,790.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.