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Finding the Fourth Proportional to 2,278.84, 3,411.68 and 1,338.94

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Solution

The fourth proportional to 2,278.84, 3,411.68 and 1,338.94 is: 2,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.84 : 3,411.68 = 1,338.94 : x
  2. Step 2: Convert to fraction form
    2,278.84/3,411.68 = 1,338.94/x
  3. Step 3: Cross multiply
    2,278.84x = 3,411.68 × 1,338.94
  4. Step 4: Simplify right side
    2,278.84x = 4,568,034.82
  5. Step 5: Solve for x
    x = 4,568,034.82/2,278.84
  6. Step 6: Final answer
    x = 2,004.54

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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.