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Finding the Fourth Proportional to 2,624.48, 3,936.83 and 980.86

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Solution

The fourth proportional to 2,624.48, 3,936.83 and 980.86 is: 1,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.48 : 3,936.83 = 980.86 : x
  2. Step 2: Convert to fraction form
    2,624.48/3,936.83 = 980.86/x
  3. Step 3: Cross multiply
    2,624.48x = 3,936.83 × 980.86
  4. Step 4: Simplify right side
    2,624.48x = 3,861,479.07
  5. Step 5: Solve for x
    x = 3,861,479.07/2,624.48
  6. Step 6: Final answer
    x = 1,471.33

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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.