Home / 1,311.66-1,969.38-1,165.86

Finding the Fourth Proportional to 1,311.66, 1,969.38 and 1,165.86

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Solution

The fourth proportional to 1,311.66, 1,969.38 and 1,165.86 is: 1,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.66 : 1,969.38 = 1,165.86 : x
  2. Step 2: Convert to fraction form
    1,311.66/1,969.38 = 1,165.86/x
  3. Step 3: Cross multiply
    1,311.66x = 1,969.38 × 1,165.86
  4. Step 4: Simplify right side
    1,311.66x = 2,296,021.37
  5. Step 5: Solve for x
    x = 2,296,021.37/1,311.66
  6. Step 6: Final answer
    x = 1,750.47

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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.