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Finding the Fourth Proportional to 2,735.05, 3,776.96 and 2,179.61

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Solution

The fourth proportional to 2,735.05, 3,776.96 and 2,179.61 is: 3,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.05 : 3,776.96 = 2,179.61 : x
  2. Step 2: Convert to fraction form
    2,735.05/3,776.96 = 2,179.61/x
  3. Step 3: Cross multiply
    2,735.05x = 3,776.96 × 2,179.61
  4. Step 4: Simplify right side
    2,735.05x = 8,232,280.90
  5. Step 5: Solve for x
    x = 8,232,280.90/2,735.05
  6. Step 6: Final answer
    x = 3,009.92

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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.