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Finding the Fourth Proportional to 1,999.77, 2,995.64 and 996.09

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Solution

The fourth proportional to 1,999.77, 2,995.64 and 996.09 is: 1,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.77 : 2,995.64 = 996.09 : x
  2. Step 2: Convert to fraction form
    1,999.77/2,995.64 = 996.09/x
  3. Step 3: Cross multiply
    1,999.77x = 2,995.64 × 996.09
  4. Step 4: Simplify right side
    1,999.77x = 2,983,934.54
  5. Step 5: Solve for x
    x = 2,983,934.54/1,999.77
  6. Step 6: Final answer
    x = 1,492.14

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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.