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Finding the Fourth Proportional to 2,812.44, 4,218.54 and 938.40

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Solution

The fourth proportional to 2,812.44, 4,218.54 and 938.40 is: 1,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.44 : 4,218.54 = 938.40 : x
  2. Step 2: Convert to fraction form
    2,812.44/4,218.54 = 938.40/x
  3. Step 3: Cross multiply
    2,812.44x = 4,218.54 × 938.40
  4. Step 4: Simplify right side
    2,812.44x = 3,958,677.94
  5. Step 5: Solve for x
    x = 3,958,677.94/2,812.44
  6. Step 6: Final answer
    x = 1,407.56

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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.