Home / 1,211.20-1,814.64-1,057.60

Finding the Fourth Proportional to 1,211.20, 1,814.64 and 1,057.60

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Solution

The fourth proportional to 1,211.20, 1,814.64 and 1,057.60 is: 1,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.20 : 1,814.64 = 1,057.60 : x
  2. Step 2: Convert to fraction form
    1,211.20/1,814.64 = 1,057.60/x
  3. Step 3: Cross multiply
    1,211.20x = 1,814.64 × 1,057.60
  4. Step 4: Simplify right side
    1,211.20x = 1,919,163.26
  5. Step 5: Solve for x
    x = 1,919,163.26/1,211.20
  6. Step 6: Final answer
    x = 1,584.51

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Why These Related Problems?

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