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Finding the Fourth Proportional to 3,147.60, 4,723.20 and 1,201.44

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Solution

The fourth proportional to 3,147.60, 4,723.20 and 1,201.44 is: 1,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.60 : 4,723.20 = 1,201.44 : x
  2. Step 2: Convert to fraction form
    3,147.60/4,723.20 = 1,201.44/x
  3. Step 3: Cross multiply
    3,147.60x = 4,723.20 × 1,201.44
  4. Step 4: Simplify right side
    3,147.60x = 5,674,641.41
  5. Step 5: Solve for x
    x = 5,674,641.41/3,147.60
  6. Step 6: Final answer
    x = 1,802.85

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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.