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Finding the Fourth Proportional to 1,650.27, 2,289.74 and 1,636.15

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Solution

The fourth proportional to 1,650.27, 2,289.74 and 1,636.15 is: 2,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.27 : 2,289.74 = 1,636.15 : x
  2. Step 2: Convert to fraction form
    1,650.27/2,289.74 = 1,636.15/x
  3. Step 3: Cross multiply
    1,650.27x = 2,289.74 × 1,636.15
  4. Step 4: Simplify right side
    1,650.27x = 3,746,362.29
  5. Step 5: Solve for x
    x = 3,746,362.29/1,650.27
  6. Step 6: Final answer
    x = 2,270.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.