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Finding the Fourth Proportional to 1,942.98, 2,912.03 and 1,530.49

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Solution

The fourth proportional to 1,942.98, 2,912.03 and 1,530.49 is: 2,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.98 : 2,912.03 = 1,530.49 : x
  2. Step 2: Convert to fraction form
    1,942.98/2,912.03 = 1,530.49/x
  3. Step 3: Cross multiply
    1,942.98x = 2,912.03 × 1,530.49
  4. Step 4: Simplify right side
    1,942.98x = 4,456,818.23
  5. Step 5: Solve for x
    x = 4,456,818.23/1,942.98
  6. Step 6: Final answer
    x = 2,293.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.