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Finding the Fourth Proportional to 1,996.66, 2,996.52 and 1,384.64

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Solution

The fourth proportional to 1,996.66, 2,996.52 and 1,384.64 is: 2,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.66 : 2,996.52 = 1,384.64 : x
  2. Step 2: Convert to fraction form
    1,996.66/2,996.52 = 1,384.64/x
  3. Step 3: Cross multiply
    1,996.66x = 2,996.52 × 1,384.64
  4. Step 4: Simplify right side
    1,996.66x = 4,149,101.45
  5. Step 5: Solve for x
    x = 4,149,101.45/1,996.66
  6. Step 6: Final answer
    x = 2,078.02

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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.