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Finding the Fourth Proportional to 2,841.76, 4,263.68 and 1,198.16

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Solution

The fourth proportional to 2,841.76, 4,263.68 and 1,198.16 is: 1,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.76 : 4,263.68 = 1,198.16 : x
  2. Step 2: Convert to fraction form
    2,841.76/4,263.68 = 1,198.16/x
  3. Step 3: Cross multiply
    2,841.76x = 4,263.68 × 1,198.16
  4. Step 4: Simplify right side
    2,841.76x = 5,108,570.83
  5. Step 5: Solve for x
    x = 5,108,570.83/2,841.76
  6. Step 6: Final answer
    x = 1,797.68

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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.