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Finding the Fourth Proportional to 4,198.65, 6,296.85 and 1,276.17

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Solution

The fourth proportional to 4,198.65, 6,296.85 and 1,276.17 is: 1,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.65 : 6,296.85 = 1,276.17 : x
  2. Step 2: Convert to fraction form
    4,198.65/6,296.85 = 1,276.17/x
  3. Step 3: Cross multiply
    4,198.65x = 6,296.85 × 1,276.17
  4. Step 4: Simplify right side
    4,198.65x = 8,035,851.06
  5. Step 5: Solve for x
    x = 8,035,851.06/4,198.65
  6. Step 6: Final answer
    x = 1,913.91

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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.