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Finding the Fourth Proportional to 2,093.28, 3,137.76 and 938.40

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Solution

The fourth proportional to 2,093.28, 3,137.76 and 938.40 is: 1,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.28 : 3,137.76 = 938.40 : x
  2. Step 2: Convert to fraction form
    2,093.28/3,137.76 = 938.40/x
  3. Step 3: Cross multiply
    2,093.28x = 3,137.76 × 938.40
  4. Step 4: Simplify right side
    2,093.28x = 2,944,473.98
  5. Step 5: Solve for x
    x = 2,944,473.98/2,093.28
  6. Step 6: Final answer
    x = 1,406.63

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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.