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Finding the Fourth Proportional to 1,823.37, 2,735.05 and 850.15

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Solution

The fourth proportional to 1,823.37, 2,735.05 and 850.15 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.37 : 2,735.05 = 850.15 : x
  2. Step 2: Convert to fraction form
    1,823.37/2,735.05 = 850.15/x
  3. Step 3: Cross multiply
    1,823.37x = 2,735.05 × 850.15
  4. Step 4: Simplify right side
    1,823.37x = 2,325,202.76
  5. Step 5: Solve for x
    x = 2,325,202.76/1,823.37
  6. Step 6: Final answer
    x = 1,275.22

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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.