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Finding the Fourth Proportional to 2,728.98, 3,765.87 and 1,931.49

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Solution

The fourth proportional to 2,728.98, 3,765.87 and 1,931.49 is: 2,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.98 : 3,765.87 = 1,931.49 : x
  2. Step 2: Convert to fraction form
    2,728.98/3,765.87 = 1,931.49/x
  3. Step 3: Cross multiply
    2,728.98x = 3,765.87 × 1,931.49
  4. Step 4: Simplify right side
    2,728.98x = 7,273,740.25
  5. Step 5: Solve for x
    x = 7,273,740.25/2,728.98
  6. Step 6: Final answer
    x = 2,665.37

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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.