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Finding the Fourth Proportional to 2,172.90, 2,998.29 and 1,241.34

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Solution

The fourth proportional to 2,172.90, 2,998.29 and 1,241.34 is: 1,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.90 : 2,998.29 = 1,241.34 : x
  2. Step 2: Convert to fraction form
    2,172.90/2,998.29 = 1,241.34/x
  3. Step 3: Cross multiply
    2,172.90x = 2,998.29 × 1,241.34
  4. Step 4: Simplify right side
    2,172.90x = 3,721,897.31
  5. Step 5: Solve for x
    x = 3,721,897.31/2,172.90
  6. Step 6: Final answer
    x = 1,712.87

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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.