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Finding the Fourth Proportional to 1,638.69, 2,456.55 and 816.54

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Solution

The fourth proportional to 1,638.69, 2,456.55 and 816.54 is: 1,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.69 : 2,456.55 = 816.54 : x
  2. Step 2: Convert to fraction form
    1,638.69/2,456.55 = 816.54/x
  3. Step 3: Cross multiply
    1,638.69x = 2,456.55 × 816.54
  4. Step 4: Simplify right side
    1,638.69x = 2,005,871.34
  5. Step 5: Solve for x
    x = 2,005,871.34/1,638.69
  6. Step 6: Final answer
    x = 1,224.07

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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.