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Finding the Fourth Proportional to 3,397.09, 4,687.83 and 1,980.84

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Solution

The fourth proportional to 3,397.09, 4,687.83 and 1,980.84 is: 2,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.09 : 4,687.83 = 1,980.84 : x
  2. Step 2: Convert to fraction form
    3,397.09/4,687.83 = 1,980.84/x
  3. Step 3: Cross multiply
    3,397.09x = 4,687.83 × 1,980.84
  4. Step 4: Simplify right side
    3,397.09x = 9,285,841.18
  5. Step 5: Solve for x
    x = 9,285,841.18/3,397.09
  6. Step 6: Final answer
    x = 2,733.47

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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.