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Finding the Fourth Proportional to 2,494.88, 3,743.28 and 956.96

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Solution

The fourth proportional to 2,494.88, 3,743.28 and 956.96 is: 1,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.88 : 3,743.28 = 956.96 : x
  2. Step 2: Convert to fraction form
    2,494.88/3,743.28 = 956.96/x
  3. Step 3: Cross multiply
    2,494.88x = 3,743.28 × 956.96
  4. Step 4: Simplify right side
    2,494.88x = 3,582,169.23
  5. Step 5: Solve for x
    x = 3,582,169.23/2,494.88
  6. Step 6: Final answer
    x = 1,435.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.