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Finding the Fourth Proportional to 2,174.23, 2,999.09 and 1,333.47

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Solution

The fourth proportional to 2,174.23, 2,999.09 and 1,333.47 is: 1,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.23 : 2,999.09 = 1,333.47 : x
  2. Step 2: Convert to fraction form
    2,174.23/2,999.09 = 1,333.47/x
  3. Step 3: Cross multiply
    2,174.23x = 2,999.09 × 1,333.47
  4. Step 4: Simplify right side
    2,174.23x = 3,999,208.66
  5. Step 5: Solve for x
    x = 3,999,208.66/2,174.23
  6. Step 6: Final answer
    x = 1,839.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.