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Finding the Fourth Proportional to 1,744.46, 2,407.42 and 958.58

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Solution

The fourth proportional to 1,744.46, 2,407.42 and 958.58 is: 1,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.46 : 2,407.42 = 958.58 : x
  2. Step 2: Convert to fraction form
    1,744.46/2,407.42 = 958.58/x
  3. Step 3: Cross multiply
    1,744.46x = 2,407.42 × 958.58
  4. Step 4: Simplify right side
    1,744.46x = 2,307,704.66
  5. Step 5: Solve for x
    x = 2,307,704.66/1,744.46
  6. Step 6: Final answer
    x = 1,322.88

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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.