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Finding the Fourth Proportional to 3,203.79, 4,804.25 and 1,353.96

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Solution

The fourth proportional to 3,203.79, 4,804.25 and 1,353.96 is: 2,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.79 : 4,804.25 = 1,353.96 : x
  2. Step 2: Convert to fraction form
    3,203.79/4,804.25 = 1,353.96/x
  3. Step 3: Cross multiply
    3,203.79x = 4,804.25 × 1,353.96
  4. Step 4: Simplify right side
    3,203.79x = 6,504,742.62
  5. Step 5: Solve for x
    x = 6,504,742.62/3,203.79
  6. Step 6: Final answer
    x = 2,030.33

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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.