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Finding the Fourth Proportional to 2,624.98, 3,936.46 and 869.45

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Solution

The fourth proportional to 2,624.98, 3,936.46 and 869.45 is: 1,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.98 : 3,936.46 = 869.45 : x
  2. Step 2: Convert to fraction form
    2,624.98/3,936.46 = 869.45/x
  3. Step 3: Cross multiply
    2,624.98x = 3,936.46 × 869.45
  4. Step 4: Simplify right side
    2,624.98x = 3,422,555.15
  5. Step 5: Solve for x
    x = 3,422,555.15/2,624.98
  6. Step 6: Final answer
    x = 1,303.84

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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.