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Finding the Fourth Proportional to 2,768.40, 4,153.06 and 1,381.48

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Solution

The fourth proportional to 2,768.40, 4,153.06 and 1,381.48 is: 2,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.40 : 4,153.06 = 1,381.48 : x
  2. Step 2: Convert to fraction form
    2,768.40/4,153.06 = 1,381.48/x
  3. Step 3: Cross multiply
    2,768.40x = 4,153.06 × 1,381.48
  4. Step 4: Simplify right side
    2,768.40x = 5,737,369.33
  5. Step 5: Solve for x
    x = 5,737,369.33/2,768.40
  6. Step 6: Final answer
    x = 2,072.45

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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.