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Finding the Fourth Proportional to 3,098.10, 4,636.01 and 2,274.33

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Solution

The fourth proportional to 3,098.10, 4,636.01 and 2,274.33 is: 3,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.10 : 4,636.01 = 2,274.33 : x
  2. Step 2: Convert to fraction form
    3,098.10/4,636.01 = 2,274.33/x
  3. Step 3: Cross multiply
    3,098.10x = 4,636.01 × 2,274.33
  4. Step 4: Simplify right side
    3,098.10x = 10,543,816.62
  5. Step 5: Solve for x
    x = 10,543,816.62/3,098.10
  6. Step 6: Final answer
    x = 3,403.32

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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.