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Finding the Fourth Proportional to 2,177.00, 2,997.42 and 1,921.22

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Solution

The fourth proportional to 2,177.00, 2,997.42 and 1,921.22 is: 2,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.00 : 2,997.42 = 1,921.22 : x
  2. Step 2: Convert to fraction form
    2,177.00/2,997.42 = 1,921.22/x
  3. Step 3: Cross multiply
    2,177.00x = 2,997.42 × 1,921.22
  4. Step 4: Simplify right side
    2,177.00x = 5,758,712.33
  5. Step 5: Solve for x
    x = 5,758,712.33/2,177.00
  6. Step 6: Final answer
    x = 2,645.26

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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.