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Finding the Fourth Proportional to 1,999.44, 2,993.40 and 1,671.12

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Solution

The fourth proportional to 1,999.44, 2,993.40 and 1,671.12 is: 2,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.44 : 2,993.40 = 1,671.12 : x
  2. Step 2: Convert to fraction form
    1,999.44/2,993.40 = 1,671.12/x
  3. Step 3: Cross multiply
    1,999.44x = 2,993.40 × 1,671.12
  4. Step 4: Simplify right side
    1,999.44x = 5,002,330.61
  5. Step 5: Solve for x
    x = 5,002,330.61/1,999.44
  6. Step 6: Final answer
    x = 2,501.87

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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.