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Finding the Fourth Proportional to 3,201.48, 4,804.38 and 1,253.44

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Solution

The fourth proportional to 3,201.48, 4,804.38 and 1,253.44 is: 1,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.48 : 4,804.38 = 1,253.44 : x
  2. Step 2: Convert to fraction form
    3,201.48/4,804.38 = 1,253.44/x
  3. Step 3: Cross multiply
    3,201.48x = 4,804.38 × 1,253.44
  4. Step 4: Simplify right side
    3,201.48x = 6,022,002.07
  5. Step 5: Solve for x
    x = 6,022,002.07/3,201.48
  6. Step 6: Final answer
    x = 1,881.01

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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.