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Finding the Fourth Proportional to 1,722.69, 2,584.04 and 1,342.53

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Solution

The fourth proportional to 1,722.69, 2,584.04 and 1,342.53 is: 2,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.69 : 2,584.04 = 1,342.53 : x
  2. Step 2: Convert to fraction form
    1,722.69/2,584.04 = 1,342.53/x
  3. Step 3: Cross multiply
    1,722.69x = 2,584.04 × 1,342.53
  4. Step 4: Simplify right side
    1,722.69x = 3,469,144.51
  5. Step 5: Solve for x
    x = 3,469,144.51/1,722.69
  6. Step 6: Final answer
    x = 2,013.80

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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.