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Finding the Fourth Proportional to 3,202.75, 4,802.28 and 1,253.89

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Solution

The fourth proportional to 3,202.75, 4,802.28 and 1,253.89 is: 1,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.75 : 4,802.28 = 1,253.89 : x
  2. Step 2: Convert to fraction form
    3,202.75/4,802.28 = 1,253.89/x
  3. Step 3: Cross multiply
    3,202.75x = 4,802.28 × 1,253.89
  4. Step 4: Simplify right side
    3,202.75x = 6,021,530.87
  5. Step 5: Solve for x
    x = 6,021,530.87/3,202.75
  6. Step 6: Final answer
    x = 1,880.11

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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.