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Finding the Fourth Proportional to 2,800.90, 4,201.44 and 1,645.84

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Solution

The fourth proportional to 2,800.90, 4,201.44 and 1,645.84 is: 2,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.90 : 4,201.44 = 1,645.84 : x
  2. Step 2: Convert to fraction form
    2,800.90/4,201.44 = 1,645.84/x
  3. Step 3: Cross multiply
    2,800.90x = 4,201.44 × 1,645.84
  4. Step 4: Simplify right side
    2,800.90x = 6,914,898.01
  5. Step 5: Solve for x
    x = 6,914,898.01/2,800.90
  6. Step 6: Final answer
    x = 2,468.81

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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.