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Finding the Fourth Proportional to 1,636.94, 2,454.72 and 596.62

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Solution

The fourth proportional to 1,636.94, 2,454.72 and 596.62 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.94 : 2,454.72 = 596.62 : x
  2. Step 2: Convert to fraction form
    1,636.94/2,454.72 = 596.62/x
  3. Step 3: Cross multiply
    1,636.94x = 2,454.72 × 596.62
  4. Step 4: Simplify right side
    1,636.94x = 1,464,535.05
  5. Step 5: Solve for x
    x = 1,464,535.05/1,636.94
  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.