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Finding the Fourth Proportional to 1,845.55, 2,768.67 and 596.47

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Solution

The fourth proportional to 1,845.55, 2,768.67 and 596.47 is: 894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.55 : 2,768.67 = 596.47 : x
  2. Step 2: Convert to fraction form
    1,845.55/2,768.67 = 596.47/x
  3. Step 3: Cross multiply
    1,845.55x = 2,768.67 × 596.47
  4. Step 4: Simplify right side
    1,845.55x = 1,651,436.33
  5. Step 5: Solve for x
    x = 1,651,436.33/1,845.55
  6. Step 6: Final answer
    x = 894.82

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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.