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Finding the Fourth Proportional to 1,973.43, 2,942.50 and 1,902.28

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Solution

The fourth proportional to 1,973.43, 2,942.50 and 1,902.28 is: 2,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.43 : 2,942.50 = 1,902.28 : x
  2. Step 2: Convert to fraction form
    1,973.43/2,942.50 = 1,902.28/x
  3. Step 3: Cross multiply
    1,973.43x = 2,942.50 × 1,902.28
  4. Step 4: Simplify right side
    1,973.43x = 5,597,458.90
  5. Step 5: Solve for x
    x = 5,597,458.90/1,973.43
  6. Step 6: Final answer
    x = 2,836.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.