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Finding the Fourth Proportional to 2,228.40, 3,339.40 and 1,638.80

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Solution

The fourth proportional to 2,228.40, 3,339.40 and 1,638.80 is: 2,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.40 : 3,339.40 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    2,228.40/3,339.40 = 1,638.80/x
  3. Step 3: Cross multiply
    2,228.40x = 3,339.40 × 1,638.80
  4. Step 4: Simplify right side
    2,228.40x = 5,472,608.72
  5. Step 5: Solve for x
    x = 5,472,608.72/2,228.40
  6. Step 6: Final answer
    x = 2,455.85

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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.