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Finding the Fourth Proportional to 2,800.20, 4,196.02 and 1,409.65

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Solution

The fourth proportional to 2,800.20, 4,196.02 and 1,409.65 is: 2,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.20 : 4,196.02 = 1,409.65 : x
  2. Step 2: Convert to fraction form
    2,800.20/4,196.02 = 1,409.65/x
  3. Step 3: Cross multiply
    2,800.20x = 4,196.02 × 1,409.65
  4. Step 4: Simplify right side
    2,800.20x = 5,914,919.59
  5. Step 5: Solve for x
    x = 5,914,919.59/2,800.20
  6. Step 6: Final answer
    x = 2,112.32

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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.