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Finding the Fourth Proportional to 2,624.99, 3,622.61 and 1,446.17

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Solution

The fourth proportional to 2,624.99, 3,622.61 and 1,446.17 is: 1,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.99 : 3,622.61 = 1,446.17 : x
  2. Step 2: Convert to fraction form
    2,624.99/3,622.61 = 1,446.17/x
  3. Step 3: Cross multiply
    2,624.99x = 3,622.61 × 1,446.17
  4. Step 4: Simplify right side
    2,624.99x = 5,238,895.41
  5. Step 5: Solve for x
    x = 5,238,895.41/2,624.99
  6. Step 6: Final answer
    x = 1,995.78

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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.