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Finding the Fourth Proportional to 4,196.90, 6,290.67 and 1,728.74

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Solution

The fourth proportional to 4,196.90, 6,290.67 and 1,728.74 is: 2,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.90 : 6,290.67 = 1,728.74 : x
  2. Step 2: Convert to fraction form
    4,196.90/6,290.67 = 1,728.74/x
  3. Step 3: Cross multiply
    4,196.90x = 6,290.67 × 1,728.74
  4. Step 4: Simplify right side
    4,196.90x = 10,874,932.86
  5. Step 5: Solve for x
    x = 10,874,932.86/4,196.90
  6. Step 6: Final answer
    x = 2,591.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.