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Finding the Fourth Proportional to 1,691.86, 2,538.05 and 596.03

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Solution

The fourth proportional to 1,691.86, 2,538.05 and 596.03 is: 894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.86 : 2,538.05 = 596.03 : x
  2. Step 2: Convert to fraction form
    1,691.86/2,538.05 = 596.03/x
  3. Step 3: Cross multiply
    1,691.86x = 2,538.05 × 596.03
  4. Step 4: Simplify right side
    1,691.86x = 1,512,757.31
  5. Step 5: Solve for x
    x = 1,512,757.31/1,691.86
  6. Step 6: Final answer
    x = 894.14

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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.