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Finding the Fourth Proportional to 3,083.63, 4,622.20 and 1,328.22

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Solution

The fourth proportional to 3,083.63, 4,622.20 and 1,328.22 is: 1,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.63 : 4,622.20 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    3,083.63/4,622.20 = 1,328.22/x
  3. Step 3: Cross multiply
    3,083.63x = 4,622.20 × 1,328.22
  4. Step 4: Simplify right side
    3,083.63x = 6,139,295.16
  5. Step 5: Solve for x
    x = 6,139,295.16/3,083.63
  6. Step 6: Final answer
    x = 1,990.93

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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.