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Finding the Fourth Proportional to 2,624.46, 3,936.39 and 869.04

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Solution

The fourth proportional to 2,624.46, 3,936.39 and 869.04 is: 1,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.46 : 3,936.39 = 869.04 : x
  2. Step 2: Convert to fraction form
    2,624.46/3,936.39 = 869.04/x
  3. Step 3: Cross multiply
    2,624.46x = 3,936.39 × 869.04
  4. Step 4: Simplify right side
    2,624.46x = 3,420,880.37
  5. Step 5: Solve for x
    x = 3,420,880.37/2,624.46
  6. Step 6: Final answer
    x = 1,303.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.