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Finding the Fourth Proportional to 1,744.77, 2,407.82 and 958.85

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Solution

The fourth proportional to 1,744.77, 2,407.82 and 958.85 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.77 : 2,407.82 = 958.85 : x
  2. Step 2: Convert to fraction form
    1,744.77/2,407.82 = 958.85/x
  3. Step 3: Cross multiply
    1,744.77x = 2,407.82 × 958.85
  4. Step 4: Simplify right side
    1,744.77x = 2,308,738.21
  5. Step 5: Solve for x
    x = 2,308,738.21/1,744.77
  6. Step 6: Final answer
    x = 1,323.23

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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.