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Finding the Fourth Proportional to 3,226.64, 4,451.72 and 1,900.24

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Solution

The fourth proportional to 3,226.64, 4,451.72 and 1,900.24 is: 2,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.64 : 4,451.72 = 1,900.24 : x
  2. Step 2: Convert to fraction form
    3,226.64/4,451.72 = 1,900.24/x
  3. Step 3: Cross multiply
    3,226.64x = 4,451.72 × 1,900.24
  4. Step 4: Simplify right side
    3,226.64x = 8,459,336.41
  5. Step 5: Solve for x
    x = 8,459,336.41/3,226.64
  6. Step 6: Final answer
    x = 2,621.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.