Home / 1,960.96-2,941.28-727.82

Finding the Fourth Proportional to 1,960.96, 2,941.28 and 727.82

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Solution

The fourth proportional to 1,960.96, 2,941.28 and 727.82 is: 1,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.96 : 2,941.28 = 727.82 : x
  2. Step 2: Convert to fraction form
    1,960.96/2,941.28 = 727.82/x
  3. Step 3: Cross multiply
    1,960.96x = 2,941.28 × 727.82
  4. Step 4: Simplify right side
    1,960.96x = 2,140,722.41
  5. Step 5: Solve for x
    x = 2,140,722.41/1,960.96
  6. Step 6: Final answer
    x = 1,091.67

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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.