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Finding the Fourth Proportional to 1,999.51, 3,001.19 and 974.23

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Solution

The fourth proportional to 1,999.51, 3,001.19 and 974.23 is: 1,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.51 : 3,001.19 = 974.23 : x
  2. Step 2: Convert to fraction form
    1,999.51/3,001.19 = 974.23/x
  3. Step 3: Cross multiply
    1,999.51x = 3,001.19 × 974.23
  4. Step 4: Simplify right side
    1,999.51x = 2,923,849.33
  5. Step 5: Solve for x
    x = 2,923,849.33/1,999.51
  6. Step 6: Final answer
    x = 1,462.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.