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Finding the Fourth Proportional to 2,624.96, 3,622.49 and 1,446.02

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Solution

The fourth proportional to 2,624.96, 3,622.49 and 1,446.02 is: 1,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.96 : 3,622.49 = 1,446.02 : x
  2. Step 2: Convert to fraction form
    2,624.96/3,622.49 = 1,446.02/x
  3. Step 3: Cross multiply
    2,624.96x = 3,622.49 × 1,446.02
  4. Step 4: Simplify right side
    2,624.96x = 5,238,192.99
  5. Step 5: Solve for x
    x = 5,238,192.99/2,624.96
  6. Step 6: Final answer
    x = 1,995.53

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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.