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Finding the Fourth Proportional to 1,691.83, 2,538.87 and 596.19

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Solution

The fourth proportional to 1,691.83, 2,538.87 and 596.19 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.83 : 2,538.87 = 596.19 : x
  2. Step 2: Convert to fraction form
    1,691.83/2,538.87 = 596.19/x
  3. Step 3: Cross multiply
    1,691.83x = 2,538.87 × 596.19
  4. Step 4: Simplify right side
    1,691.83x = 1,513,645.92
  5. Step 5: Solve for x
    x = 1,513,645.92/1,691.83
  6. Step 6: Final answer
    x = 894.68

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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.