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Finding the Fourth Proportional to 1,828.89, 2,743.65 and 596.34

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Solution

The fourth proportional to 1,828.89, 2,743.65 and 596.34 is: 894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.89 : 2,743.65 = 596.34 : x
  2. Step 2: Convert to fraction form
    1,828.89/2,743.65 = 596.34/x
  3. Step 3: Cross multiply
    1,828.89x = 2,743.65 × 596.34
  4. Step 4: Simplify right side
    1,828.89x = 1,636,148.24
  5. Step 5: Solve for x
    x = 1,636,148.24/1,828.89
  6. Step 6: Final answer
    x = 894.61

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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.