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Finding the Fourth Proportional to 1,744.27, 2,407.09 and 958.31

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Solution

The fourth proportional to 1,744.27, 2,407.09 and 958.31 is: 1,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.27 : 2,407.09 = 958.31 : x
  2. Step 2: Convert to fraction form
    1,744.27/2,407.09 = 958.31/x
  3. Step 3: Cross multiply
    1,744.27x = 2,407.09 × 958.31
  4. Step 4: Simplify right side
    1,744.27x = 2,306,742.04
  5. Step 5: Solve for x
    x = 2,306,742.04/1,744.27
  6. Step 6: Final answer
    x = 1,322.47

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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.