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Finding the Fourth Proportional to 2,629.46, 3,624.09 and 1,920.14

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Solution

The fourth proportional to 2,629.46, 3,624.09 and 1,920.14 is: 2,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.46 : 3,624.09 = 1,920.14 : x
  2. Step 2: Convert to fraction form
    2,629.46/3,624.09 = 1,920.14/x
  3. Step 3: Cross multiply
    2,629.46x = 3,624.09 × 1,920.14
  4. Step 4: Simplify right side
    2,629.46x = 6,958,742.05
  5. Step 5: Solve for x
    x = 6,958,742.05/2,629.46
  6. Step 6: Final answer
    x = 2,646.46

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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.