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Finding the Fourth Proportional to 2,336.05, 3,223.74 and 1,288.12

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Solution

The fourth proportional to 2,336.05, 3,223.74 and 1,288.12 is: 1,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.05 : 3,223.74 = 1,288.12 : x
  2. Step 2: Convert to fraction form
    2,336.05/3,223.74 = 1,288.12/x
  3. Step 3: Cross multiply
    2,336.05x = 3,223.74 × 1,288.12
  4. Step 4: Simplify right side
    2,336.05x = 4,152,563.97
  5. Step 5: Solve for x
    x = 4,152,563.97/2,336.05
  6. Step 6: Final answer
    x = 1,777.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.