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Finding the Fourth Proportional to 2,800.96, 4,203.06 and 2,650.84

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Solution

The fourth proportional to 2,800.96, 4,203.06 and 2,650.84 is: 3,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.96 : 4,203.06 = 2,650.84 : x
  2. Step 2: Convert to fraction form
    2,800.96/4,203.06 = 2,650.84/x
  3. Step 3: Cross multiply
    2,800.96x = 4,203.06 × 2,650.84
  4. Step 4: Simplify right side
    2,800.96x = 11,141,639.57
  5. Step 5: Solve for x
    x = 11,141,639.57/2,800.96
  6. Step 6: Final answer
    x = 3,977.79

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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.