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Finding the Fourth Proportional to 2,137.88, 3,208 and 1,621.10

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Solution

The fourth proportional to 2,137.88, 3,208 and 1,621.10 is: 2,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.88 : 3,208 = 1,621.10 : x
  2. Step 2: Convert to fraction form
    2,137.88/3,208 = 1,621.10/x
  3. Step 3: Cross multiply
    2,137.88x = 3,208 × 1,621.10
  4. Step 4: Simplify right side
    2,137.88x = 5,200,488.80
  5. Step 5: Solve for x
    x = 5,200,488.80/2,137.88
  6. Step 6: Final answer
    x = 2,432.54

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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.