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Finding the Fourth Proportional to 2,205.50, 3,043.02 and 1,615

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Solution

The fourth proportional to 2,205.50, 3,043.02 and 1,615 is: 2,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.50 : 3,043.02 = 1,615 : x
  2. Step 2: Convert to fraction form
    2,205.50/3,043.02 = 1,615/x
  3. Step 3: Cross multiply
    2,205.50x = 3,043.02 × 1,615
  4. Step 4: Simplify right side
    2,205.50x = 4,914,477.30
  5. Step 5: Solve for x
    x = 4,914,477.30/2,205.50
  6. Step 6: Final answer
    x = 2,228.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.