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Finding the Fourth Proportional to 1,828.58, 2,743.34 and 596.07

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Solution

The fourth proportional to 1,828.58, 2,743.34 and 596.07 is: 894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.58 : 2,743.34 = 596.07 : x
  2. Step 2: Convert to fraction form
    1,828.58/2,743.34 = 596.07/x
  3. Step 3: Cross multiply
    1,828.58x = 2,743.34 × 596.07
  4. Step 4: Simplify right side
    1,828.58x = 1,635,219.69
  5. Step 5: Solve for x
    x = 1,635,219.69/1,828.58
  6. Step 6: Final answer
    x = 894.26

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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.