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Finding the Fourth Proportional to 1,270.32, 1,900.21 and 1,192.56

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Solution

The fourth proportional to 1,270.32, 1,900.21 and 1,192.56 is: 1,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.32 : 1,900.21 = 1,192.56 : x
  2. Step 2: Convert to fraction form
    1,270.32/1,900.21 = 1,192.56/x
  3. Step 3: Cross multiply
    1,270.32x = 1,900.21 × 1,192.56
  4. Step 4: Simplify right side
    1,270.32x = 2,266,114.44
  5. Step 5: Solve for x
    x = 2,266,114.44/1,270.32
  6. Step 6: Final answer
    x = 1,783.89

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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.