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Finding the Fourth Proportional to 2,171.54, 3,241.57 and 1,908.79

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Solution

The fourth proportional to 2,171.54, 3,241.57 and 1,908.79 is: 2,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.54 : 3,241.57 = 1,908.79 : x
  2. Step 2: Convert to fraction form
    2,171.54/3,241.57 = 1,908.79/x
  3. Step 3: Cross multiply
    2,171.54x = 3,241.57 × 1,908.79
  4. Step 4: Simplify right side
    2,171.54x = 6,187,460.19
  5. Step 5: Solve for x
    x = 6,187,460.19/2,171.54
  6. Step 6: Final answer
    x = 2,849.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.