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Finding the Fourth Proportional to 1,775.58, 2,662.86 and 850.22

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Solution

The fourth proportional to 1,775.58, 2,662.86 and 850.22 is: 1,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.58 : 2,662.86 = 850.22 : x
  2. Step 2: Convert to fraction form
    1,775.58/2,662.86 = 850.22/x
  3. Step 3: Cross multiply
    1,775.58x = 2,662.86 × 850.22
  4. Step 4: Simplify right side
    1,775.58x = 2,264,016.83
  5. Step 5: Solve for x
    x = 2,264,016.83/1,775.58
  6. Step 6: Final answer
    x = 1,275.09

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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.