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Finding the Fourth Proportional to 1,744.26, 2,407.23 and 958.47

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Solution

The fourth proportional to 1,744.26, 2,407.23 and 958.47 is: 1,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.26 : 2,407.23 = 958.47 : x
  2. Step 2: Convert to fraction form
    1,744.26/2,407.23 = 958.47/x
  3. Step 3: Cross multiply
    1,744.26x = 2,407.23 × 958.47
  4. Step 4: Simplify right side
    1,744.26x = 2,307,257.74
  5. Step 5: Solve for x
    x = 2,307,257.74/1,744.26
  6. Step 6: Final answer
    x = 1,322.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.