Home / 1,743.67-2,406.24-997.81

Finding the Fourth Proportional to 1,743.67, 2,406.24 and 997.81

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Solution

The fourth proportional to 1,743.67, 2,406.24 and 997.81 is: 1,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.67 : 2,406.24 = 997.81 : x
  2. Step 2: Convert to fraction form
    1,743.67/2,406.24 = 997.81/x
  3. Step 3: Cross multiply
    1,743.67x = 2,406.24 × 997.81
  4. Step 4: Simplify right side
    1,743.67x = 2,400,977.85
  5. Step 5: Solve for x
    x = 2,400,977.85/1,743.67
  6. Step 6: Final answer
    x = 1,376.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.