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Finding the Fourth Proportional to 3,185.39, 4,777.57 and 845.55

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Solution

The fourth proportional to 3,185.39, 4,777.57 and 845.55 is: 1,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.39 : 4,777.57 = 845.55 : x
  2. Step 2: Convert to fraction form
    3,185.39/4,777.57 = 845.55/x
  3. Step 3: Cross multiply
    3,185.39x = 4,777.57 × 845.55
  4. Step 4: Simplify right side
    3,185.39x = 4,039,674.31
  5. Step 5: Solve for x
    x = 4,039,674.31/3,185.39
  6. Step 6: Final answer
    x = 1,268.19

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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.