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Finding the Fourth Proportional to 1,984.32, 2,730.96 and 1,736.28

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Solution

The fourth proportional to 1,984.32, 2,730.96 and 1,736.28 is: 2,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.32 : 2,730.96 = 1,736.28 : x
  2. Step 2: Convert to fraction form
    1,984.32/2,730.96 = 1,736.28/x
  3. Step 3: Cross multiply
    1,984.32x = 2,730.96 × 1,736.28
  4. Step 4: Simplify right side
    1,984.32x = 4,741,711.23
  5. Step 5: Solve for x
    x = 4,741,711.23/1,984.32
  6. Step 6: Final answer
    x = 2,389.59

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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.