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Finding the Fourth Proportional to 1,638.48, 2,455.94 and 806.12

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Solution

The fourth proportional to 1,638.48, 2,455.94 and 806.12 is: 1,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.48 : 2,455.94 = 806.12 : x
  2. Step 2: Convert to fraction form
    1,638.48/2,455.94 = 806.12/x
  3. Step 3: Cross multiply
    1,638.48x = 2,455.94 × 806.12
  4. Step 4: Simplify right side
    1,638.48x = 1,979,782.35
  5. Step 5: Solve for x
    x = 1,979,782.35/1,638.48
  6. Step 6: Final answer
    x = 1,208.30

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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.