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Finding the Fourth Proportional to 2,241.65, 3,362.07 and 1,071

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Solution

The fourth proportional to 2,241.65, 3,362.07 and 1,071 is: 1,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.65 : 3,362.07 = 1,071 : x
  2. Step 2: Convert to fraction form
    2,241.65/3,362.07 = 1,071/x
  3. Step 3: Cross multiply
    2,241.65x = 3,362.07 × 1,071
  4. Step 4: Simplify right side
    2,241.65x = 3,600,776.97
  5. Step 5: Solve for x
    x = 3,600,776.97/2,241.65
  6. Step 6: Final answer
    x = 1,606.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.