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Finding the Fourth Proportional to 2,162.26, 2,984.26 and 1,637.38

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Solution

The fourth proportional to 2,162.26, 2,984.26 and 1,637.38 is: 2,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.26 : 2,984.26 = 1,637.38 : x
  2. Step 2: Convert to fraction form
    2,162.26/2,984.26 = 1,637.38/x
  3. Step 3: Cross multiply
    2,162.26x = 2,984.26 × 1,637.38
  4. Step 4: Simplify right side
    2,162.26x = 4,886,367.64
  5. Step 5: Solve for x
    x = 4,886,367.64/2,162.26
  6. Step 6: Final answer
    x = 2,259.84

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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.