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Finding the Fourth Proportional to 2,624.84, 3,622.44 and 1,446.17

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Solution

The fourth proportional to 2,624.84, 3,622.44 and 1,446.17 is: 1,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.84 : 3,622.44 = 1,446.17 : x
  2. Step 2: Convert to fraction form
    2,624.84/3,622.44 = 1,446.17/x
  3. Step 3: Cross multiply
    2,624.84x = 3,622.44 × 1,446.17
  4. Step 4: Simplify right side
    2,624.84x = 5,238,664.05
  5. Step 5: Solve for x
    x = 5,238,664.05/2,624.84
  6. Step 6: Final answer
    x = 1,995.80

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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.