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Finding the Fourth Proportional to 3,202.24, 4,804.64 and 1,739.68

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Solution

The fourth proportional to 3,202.24, 4,804.64 and 1,739.68 is: 2,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.24 : 4,804.64 = 1,739.68 : x
  2. Step 2: Convert to fraction form
    3,202.24/4,804.64 = 1,739.68/x
  3. Step 3: Cross multiply
    3,202.24x = 4,804.64 × 1,739.68
  4. Step 4: Simplify right side
    3,202.24x = 8,358,536.12
  5. Step 5: Solve for x
    x = 8,358,536.12/3,202.24
  6. Step 6: Final answer
    x = 2,610.22

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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.