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Finding the Fourth Proportional to 1,829.22, 2,743.94 and 596.55

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Solution

The fourth proportional to 1,829.22, 2,743.94 and 596.55 is: 894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.22 : 2,743.94 = 596.55 : x
  2. Step 2: Convert to fraction form
    1,829.22/2,743.94 = 596.55/x
  3. Step 3: Cross multiply
    1,829.22x = 2,743.94 × 596.55
  4. Step 4: Simplify right side
    1,829.22x = 1,636,894.42
  5. Step 5: Solve for x
    x = 1,636,894.42/1,829.22
  6. Step 6: Final answer
    x = 894.86

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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.