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Finding the Fourth Proportional to 1,793.28, 2,688 and 1,278.72

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Solution

The fourth proportional to 1,793.28, 2,688 and 1,278.72 is: 1,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.28 : 2,688 = 1,278.72 : x
  2. Step 2: Convert to fraction form
    1,793.28/2,688 = 1,278.72/x
  3. Step 3: Cross multiply
    1,793.28x = 2,688 × 1,278.72
  4. Step 4: Simplify right side
    1,793.28x = 3,437,199.36
  5. Step 5: Solve for x
    x = 3,437,199.36/1,793.28
  6. Step 6: Final answer
    x = 1,916.71

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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.