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Finding the Fourth Proportional to 3,203.55, 4,804.64 and 1,228.52

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Solution

The fourth proportional to 3,203.55, 4,804.64 and 1,228.52 is: 1,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.55 : 4,804.64 = 1,228.52 : x
  2. Step 2: Convert to fraction form
    3,203.55/4,804.64 = 1,228.52/x
  3. Step 3: Cross multiply
    3,203.55x = 4,804.64 × 1,228.52
  4. Step 4: Simplify right side
    3,203.55x = 5,902,583.24
  5. Step 5: Solve for x
    x = 5,902,583.24/3,203.55
  6. Step 6: Final answer
    x = 1,842.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.