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Finding the Fourth Proportional to 2,614.50, 3,608.82 and 1,683

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Solution

The fourth proportional to 2,614.50, 3,608.82 and 1,683 is: 2,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.50 : 3,608.82 = 1,683 : x
  2. Step 2: Convert to fraction form
    2,614.50/3,608.82 = 1,683/x
  3. Step 3: Cross multiply
    2,614.50x = 3,608.82 × 1,683
  4. Step 4: Simplify right side
    2,614.50x = 6,073,644.06
  5. Step 5: Solve for x
    x = 6,073,644.06/2,614.50
  6. Step 6: Final answer
    x = 2,323.06

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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.