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Finding the Fourth Proportional to 2,174.33, 3,000.55 and 1,230.31

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Solution

The fourth proportional to 2,174.33, 3,000.55 and 1,230.31 is: 1,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.33 : 3,000.55 = 1,230.31 : x
  2. Step 2: Convert to fraction form
    2,174.33/3,000.55 = 1,230.31/x
  3. Step 3: Cross multiply
    2,174.33x = 3,000.55 × 1,230.31
  4. Step 4: Simplify right side
    2,174.33x = 3,691,596.09
  5. Step 5: Solve for x
    x = 3,691,596.09/2,174.33
  6. Step 6: Final answer
    x = 1,697.81

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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.