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Finding the Fourth Proportional to 2,687.61, 4,027.64 and 2,137.35

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Solution

The fourth proportional to 2,687.61, 4,027.64 and 2,137.35 is: 3,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.61 : 4,027.64 = 2,137.35 : x
  2. Step 2: Convert to fraction form
    2,687.61/4,027.64 = 2,137.35/x
  3. Step 3: Cross multiply
    2,687.61x = 4,027.64 × 2,137.35
  4. Step 4: Simplify right side
    2,687.61x = 8,608,465.67
  5. Step 5: Solve for x
    x = 8,608,465.67/2,687.61
  6. Step 6: Final answer
    x = 3,203.02

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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.