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Finding the Fourth Proportional to 2,174.45, 2,999.43 and 2,028.65

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Solution

The fourth proportional to 2,174.45, 2,999.43 and 2,028.65 is: 2,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.45 : 2,999.43 = 2,028.65 : x
  2. Step 2: Convert to fraction form
    2,174.45/2,999.43 = 2,028.65/x
  3. Step 3: Cross multiply
    2,174.45x = 2,999.43 × 2,028.65
  4. Step 4: Simplify right side
    2,174.45x = 6,084,778.67
  5. Step 5: Solve for x
    x = 6,084,778.67/2,174.45
  6. Step 6: Final answer
    x = 2,798.31

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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.