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Finding the Fourth Proportional to 2,135.59, 3,200.65 and 1,647.61

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Solution

The fourth proportional to 2,135.59, 3,200.65 and 1,647.61 is: 2,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.59 : 3,200.65 = 1,647.61 : x
  2. Step 2: Convert to fraction form
    2,135.59/3,200.65 = 1,647.61/x
  3. Step 3: Cross multiply
    2,135.59x = 3,200.65 × 1,647.61
  4. Step 4: Simplify right side
    2,135.59x = 5,273,410.83
  5. Step 5: Solve for x
    x = 5,273,410.83/2,135.59
  6. Step 6: Final answer
    x = 2,469.30

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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.