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Finding the Fourth Proportional to 1,983.81, 2,731.41 and 1,684.46

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Solution

The fourth proportional to 1,983.81, 2,731.41 and 1,684.46 is: 2,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,731.41 = 1,684.46 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,731.41 = 1,684.46/x
  3. Step 3: Cross multiply
    1,983.81x = 2,731.41 × 1,684.46
  4. Step 4: Simplify right side
    1,983.81x = 4,600,928.81
  5. Step 5: Solve for x
    x = 4,600,928.81/1,983.81
  6. Step 6: Final answer
    x = 2,319.24

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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.