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Finding the Fourth Proportional to 2,198.76, 3,033.32 and 1,313.97

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Solution

The fourth proportional to 2,198.76, 3,033.32 and 1,313.97 is: 1,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.76 : 3,033.32 = 1,313.97 : x
  2. Step 2: Convert to fraction form
    2,198.76/3,033.32 = 1,313.97/x
  3. Step 3: Cross multiply
    2,198.76x = 3,033.32 × 1,313.97
  4. Step 4: Simplify right side
    2,198.76x = 3,985,684.91
  5. Step 5: Solve for x
    x = 3,985,684.91/2,198.76
  6. Step 6: Final answer
    x = 1,812.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.