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Finding the Fourth Proportional to 1,824.86, 2,736.97 and 592.09

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Solution

The fourth proportional to 1,824.86, 2,736.97 and 592.09 is: 888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.86 : 2,736.97 = 592.09 : x
  2. Step 2: Convert to fraction form
    1,824.86/2,736.97 = 592.09/x
  3. Step 3: Cross multiply
    1,824.86x = 2,736.97 × 592.09
  4. Step 4: Simplify right side
    1,824.86x = 1,620,532.57
  5. Step 5: Solve for x
    x = 1,620,532.57/1,824.86
  6. Step 6: Final answer
    x = 888.03

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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.