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Finding the Fourth Proportional to 1,231.18, 1,845.96 and 942.01

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Solution

The fourth proportional to 1,231.18, 1,845.96 and 942.01 is: 1,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.18 : 1,845.96 = 942.01 : x
  2. Step 2: Convert to fraction form
    1,231.18/1,845.96 = 942.01/x
  3. Step 3: Cross multiply
    1,231.18x = 1,845.96 × 942.01
  4. Step 4: Simplify right side
    1,231.18x = 1,738,912.78
  5. Step 5: Solve for x
    x = 1,738,912.78/1,231.18
  6. Step 6: Final answer
    x = 1,412.40

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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.