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Finding the Fourth Proportional to 2,172.96, 2,998.35 and 1,427.22

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Solution

The fourth proportional to 2,172.96, 2,998.35 and 1,427.22 is: 1,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.96 : 2,998.35 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    2,172.96/2,998.35 = 1,427.22/x
  3. Step 3: Cross multiply
    2,172.96x = 2,998.35 × 1,427.22
  4. Step 4: Simplify right side
    2,172.96x = 4,279,305.09
  5. Step 5: Solve for x
    x = 4,279,305.09/2,172.96
  6. Step 6: Final answer
    x = 1,969.34

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Why These Related Problems?

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