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Finding the Fourth Proportional to 1,376.84, 1,896.54 and 1,286.12

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Solution

The fourth proportional to 1,376.84, 1,896.54 and 1,286.12 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.84 : 1,896.54 = 1,286.12 : x
  2. Step 2: Convert to fraction form
    1,376.84/1,896.54 = 1,286.12/x
  3. Step 3: Cross multiply
    1,376.84x = 1,896.54 × 1,286.12
  4. Step 4: Simplify right side
    1,376.84x = 2,439,178.02
  5. Step 5: Solve for x
    x = 2,439,178.02/1,376.84
  6. Step 6: Final answer
    x = 1,771.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.