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Finding the Fourth Proportional to 2,072.63, 3,108.03 and 1,098.51

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Solution

The fourth proportional to 2,072.63, 3,108.03 and 1,098.51 is: 1,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.63 : 3,108.03 = 1,098.51 : x
  2. Step 2: Convert to fraction form
    2,072.63/3,108.03 = 1,098.51/x
  3. Step 3: Cross multiply
    2,072.63x = 3,108.03 × 1,098.51
  4. Step 4: Simplify right side
    2,072.63x = 3,414,202.04
  5. Step 5: Solve for x
    x = 3,414,202.04/2,072.63
  6. Step 6: Final answer
    x = 1,647.28

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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.