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Finding the Fourth Proportional to 3,194.40, 4,790.16 and 1,245.60

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Solution

The fourth proportional to 3,194.40, 4,790.16 and 1,245.60 is: 1,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.40 : 4,790.16 = 1,245.60 : x
  2. Step 2: Convert to fraction form
    3,194.40/4,790.16 = 1,245.60/x
  3. Step 3: Cross multiply
    3,194.40x = 4,790.16 × 1,245.60
  4. Step 4: Simplify right side
    3,194.40x = 5,966,623.30
  5. Step 5: Solve for x
    x = 5,966,623.30/3,194.40
  6. Step 6: Final answer
    x = 1,867.84

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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.