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Finding the Fourth Proportional to 2,172.56, 2,998.08 and 1,241

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Solution

The fourth proportional to 2,172.56, 2,998.08 and 1,241 is: 1,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.56 : 2,998.08 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,172.56/2,998.08 = 1,241/x
  3. Step 3: Cross multiply
    2,172.56x = 2,998.08 × 1,241
  4. Step 4: Simplify right side
    2,172.56x = 3,720,617.28
  5. Step 5: Solve for x
    x = 3,720,617.28/2,172.56
  6. Step 6: Final answer
    x = 1,712.55

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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.