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Finding the Fourth Proportional to 1,964.46, 2,946.62 and 665.93

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Solution

The fourth proportional to 1,964.46, 2,946.62 and 665.93 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.46 : 2,946.62 = 665.93 : x
  2. Step 2: Convert to fraction form
    1,964.46/2,946.62 = 665.93/x
  3. Step 3: Cross multiply
    1,964.46x = 2,946.62 × 665.93
  4. Step 4: Simplify right side
    1,964.46x = 1,962,251.69
  5. Step 5: Solve for x
    x = 1,962,251.69/1,964.46
  6. Step 6: Final answer
    x = 998.87

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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.