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Finding the Fourth Proportional to 3,342.57, 5,013.81 and 1,964.66

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Solution

The fourth proportional to 3,342.57, 5,013.81 and 1,964.66 is: 2,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.57 : 5,013.81 = 1,964.66 : x
  2. Step 2: Convert to fraction form
    3,342.57/5,013.81 = 1,964.66/x
  3. Step 3: Cross multiply
    3,342.57x = 5,013.81 × 1,964.66
  4. Step 4: Simplify right side
    3,342.57x = 9,850,406.89
  5. Step 5: Solve for x
    x = 9,850,406.89/3,342.57
  6. Step 6: Final answer
    x = 2,946.96

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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.