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Finding the Fourth Proportional to 2,728.91, 3,765.89 and 1,486.91

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Solution

The fourth proportional to 2,728.91, 3,765.89 and 1,486.91 is: 2,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.91 : 3,765.89 = 1,486.91 : x
  2. Step 2: Convert to fraction form
    2,728.91/3,765.89 = 1,486.91/x
  3. Step 3: Cross multiply
    2,728.91x = 3,765.89 × 1,486.91
  4. Step 4: Simplify right side
    2,728.91x = 5,599,527.24
  5. Step 5: Solve for x
    x = 5,599,527.24/2,728.91
  6. Step 6: Final answer
    x = 2,051.93

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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.