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Finding the Fourth Proportional to 3,100.86, 4,648.02 and 1,636.38

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Solution

The fourth proportional to 3,100.86, 4,648.02 and 1,636.38 is: 2,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.86 : 4,648.02 = 1,636.38 : x
  2. Step 2: Convert to fraction form
    3,100.86/4,648.02 = 1,636.38/x
  3. Step 3: Cross multiply
    3,100.86x = 4,648.02 × 1,636.38
  4. Step 4: Simplify right side
    3,100.86x = 7,605,926.97
  5. Step 5: Solve for x
    x = 7,605,926.97/3,100.86
  6. Step 6: Final answer
    x = 2,452.84

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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.