Home / 1,744.16-2,407.11-997.97

Finding the Fourth Proportional to 1,744.16, 2,407.11 and 997.97

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Solution

The fourth proportional to 1,744.16, 2,407.11 and 997.97 is: 1,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.16 : 2,407.11 = 997.97 : x
  2. Step 2: Convert to fraction form
    1,744.16/2,407.11 = 997.97/x
  3. Step 3: Cross multiply
    1,744.16x = 2,407.11 × 997.97
  4. Step 4: Simplify right side
    1,744.16x = 2,402,223.57
  5. Step 5: Solve for x
    x = 2,402,223.57/1,744.16
  6. Step 6: Final answer
    x = 1,377.30

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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.