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Finding the Fourth Proportional to 4,657.40, 6,986.16 and 1,194.56

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Solution

The fourth proportional to 4,657.40, 6,986.16 and 1,194.56 is: 1,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.40 : 6,986.16 = 1,194.56 : x
  2. Step 2: Convert to fraction form
    4,657.40/6,986.16 = 1,194.56/x
  3. Step 3: Cross multiply
    4,657.40x = 6,986.16 × 1,194.56
  4. Step 4: Simplify right side
    4,657.40x = 8,345,387.29
  5. Step 5: Solve for x
    x = 8,345,387.29/4,657.40
  6. Step 6: Final answer
    x = 1,791.86

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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.