Home / 2,140.80-3,206.24-2,105.12

Finding the Fourth Proportional to 2,140.80, 3,206.24 and 2,105.12

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Solution

The fourth proportional to 2,140.80, 3,206.24 and 2,105.12 is: 3,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,206.24 = 2,105.12 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,206.24 = 2,105.12/x
  3. Step 3: Cross multiply
    2,140.80x = 3,206.24 × 2,105.12
  4. Step 4: Simplify right side
    2,140.80x = 6,749,519.95
  5. Step 5: Solve for x
    x = 6,749,519.95/2,140.80
  6. Step 6: Final answer
    x = 3,152.80

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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.