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Finding the Fourth Proportional to 3,203.30, 4,804.77 and 1,229.87

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Solution

The fourth proportional to 3,203.30, 4,804.77 and 1,229.87 is: 1,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.30 : 4,804.77 = 1,229.87 : x
  2. Step 2: Convert to fraction form
    3,203.30/4,804.77 = 1,229.87/x
  3. Step 3: Cross multiply
    3,203.30x = 4,804.77 × 1,229.87
  4. Step 4: Simplify right side
    3,203.30x = 5,909,242.48
  5. Step 5: Solve for x
    x = 5,909,242.48/3,203.30
  6. Step 6: Final answer
    x = 1,844.74

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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.