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Finding the Fourth Proportional to 2,635.08, 3,950.46 and 2,121

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Solution

The fourth proportional to 2,635.08, 3,950.46 and 2,121 is: 3,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.08 : 3,950.46 = 2,121 : x
  2. Step 2: Convert to fraction form
    2,635.08/3,950.46 = 2,121/x
  3. Step 3: Cross multiply
    2,635.08x = 3,950.46 × 2,121
  4. Step 4: Simplify right side
    2,635.08x = 8,378,925.66
  5. Step 5: Solve for x
    x = 8,378,925.66/2,635.08
  6. Step 6: Final answer
    x = 3,179.76

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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.