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Finding the Fourth Proportional to 1,996.12, 3,009.13 and 1,862.31

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Solution

The fourth proportional to 1,996.12, 3,009.13 and 1,862.31 is: 2,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.12 : 3,009.13 = 1,862.31 : x
  2. Step 2: Convert to fraction form
    1,996.12/3,009.13 = 1,862.31/x
  3. Step 3: Cross multiply
    1,996.12x = 3,009.13 × 1,862.31
  4. Step 4: Simplify right side
    1,996.12x = 5,603,932.89
  5. Step 5: Solve for x
    x = 5,603,932.89/1,996.12
  6. Step 6: Final answer
    x = 2,807.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.