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Finding the Fourth Proportional to 1,744.41, 2,407.17 and 958.44

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Solution

The fourth proportional to 1,744.41, 2,407.17 and 958.44 is: 1,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.41 : 2,407.17 = 958.44 : x
  2. Step 2: Convert to fraction form
    1,744.41/2,407.17 = 958.44/x
  3. Step 3: Cross multiply
    1,744.41x = 2,407.17 × 958.44
  4. Step 4: Simplify right side
    1,744.41x = 2,307,128.01
  5. Step 5: Solve for x
    x = 2,307,128.01/1,744.41
  6. Step 6: Final answer
    x = 1,322.58

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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.