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Finding the Fourth Proportional to 2,765.79, 3,812.75 and 2,175.30

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Solution

The fourth proportional to 2,765.79, 3,812.75 and 2,175.30 is: 2,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.79 : 3,812.75 = 2,175.30 : x
  2. Step 2: Convert to fraction form
    2,765.79/3,812.75 = 2,175.30/x
  3. Step 3: Cross multiply
    2,765.79x = 3,812.75 × 2,175.30
  4. Step 4: Simplify right side
    2,765.79x = 8,293,864.20
  5. Step 5: Solve for x
    x = 8,293,864.20/2,765.79
  6. Step 6: Final answer
    x = 2,998.73

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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.