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Finding the Fourth Proportional to 4,102.72, 6,153.92 and 1,636.80

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Solution

The fourth proportional to 4,102.72, 6,153.92 and 1,636.80 is: 2,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.72 : 6,153.92 = 1,636.80 : x
  2. Step 2: Convert to fraction form
    4,102.72/6,153.92 = 1,636.80/x
  3. Step 3: Cross multiply
    4,102.72x = 6,153.92 × 1,636.80
  4. Step 4: Simplify right side
    4,102.72x = 10,072,736.26
  5. Step 5: Solve for x
    x = 10,072,736.26/4,102.72
  6. Step 6: Final answer
    x = 2,455.14

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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.