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Finding the Fourth Proportional to 1,743.80, 2,406.43 and 997.75

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Solution

The fourth proportional to 1,743.80, 2,406.43 and 997.75 is: 1,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.80 : 2,406.43 = 997.75 : x
  2. Step 2: Convert to fraction form
    1,743.80/2,406.43 = 997.75/x
  3. Step 3: Cross multiply
    1,743.80x = 2,406.43 × 997.75
  4. Step 4: Simplify right side
    1,743.80x = 2,401,019.79
  5. Step 5: Solve for x
    x = 2,401,019.79/1,743.80
  6. Step 6: Final answer
    x = 1,376.89

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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.