Home / 2,723.52-4,086-1,164.24

Finding the Fourth Proportional to 2,723.52, 4,086 and 1,164.24

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Solution

The fourth proportional to 2,723.52, 4,086 and 1,164.24 is: 1,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.52 : 4,086 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    2,723.52/4,086 = 1,164.24/x
  3. Step 3: Cross multiply
    2,723.52x = 4,086 × 1,164.24
  4. Step 4: Simplify right side
    2,723.52x = 4,757,084.64
  5. Step 5: Solve for x
    x = 4,757,084.64/2,723.52
  6. Step 6: Final answer
    x = 1,746.67

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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.