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Finding the Fourth Proportional to 4,133.97, 6,202.89 and 1,670.49

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Solution

The fourth proportional to 4,133.97, 6,202.89 and 1,670.49 is: 2,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.97 : 6,202.89 = 1,670.49 : x
  2. Step 2: Convert to fraction form
    4,133.97/6,202.89 = 1,670.49/x
  3. Step 3: Cross multiply
    4,133.97x = 6,202.89 × 1,670.49
  4. Step 4: Simplify right side
    4,133.97x = 10,361,865.72
  5. Step 5: Solve for x
    x = 10,361,865.72/4,133.97
  6. Step 6: Final answer
    x = 2,506.52

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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.