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Finding the Fourth Proportional to 2,626.77, 3,624.96 and 1,447.84

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Solution

The fourth proportional to 2,626.77, 3,624.96 and 1,447.84 is: 1,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.77 : 3,624.96 = 1,447.84 : x
  2. Step 2: Convert to fraction form
    2,626.77/3,624.96 = 1,447.84/x
  3. Step 3: Cross multiply
    2,626.77x = 3,624.96 × 1,447.84
  4. Step 4: Simplify right side
    2,626.77x = 5,248,362.09
  5. Step 5: Solve for x
    x = 5,248,362.09/2,626.77
  6. Step 6: Final answer
    x = 1,998.03

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Why These Related Problems?

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