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Finding the Fourth Proportional to 4,131.60, 6,192.60 and 1,665.20

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Solution

The fourth proportional to 4,131.60, 6,192.60 and 1,665.20 is: 2,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.60 : 6,192.60 = 1,665.20 : x
  2. Step 2: Convert to fraction form
    4,131.60/6,192.60 = 1,665.20/x
  3. Step 3: Cross multiply
    4,131.60x = 6,192.60 × 1,665.20
  4. Step 4: Simplify right side
    4,131.60x = 10,311,917.52
  5. Step 5: Solve for x
    x = 10,311,917.52/4,131.60
  6. Step 6: Final answer
    x = 2,495.87

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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.