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Finding the Fourth Proportional to 2,605.56, 3,907.36 and 850.15

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Solution

The fourth proportional to 2,605.56, 3,907.36 and 850.15 is: 1,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,907.36 = 850.15 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,907.36 = 850.15/x
  3. Step 3: Cross multiply
    2,605.56x = 3,907.36 × 850.15
  4. Step 4: Simplify right side
    2,605.56x = 3,321,848.05
  5. Step 5: Solve for x
    x = 3,321,848.05/2,605.56
  6. Step 6: Final answer
    x = 1,274.91

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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.