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Finding the Fourth Proportional to 2,494.72, 3,743.16 and 956.80

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Solution

The fourth proportional to 2,494.72, 3,743.16 and 956.80 is: 1,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.72 : 3,743.16 = 956.80 : x
  2. Step 2: Convert to fraction form
    2,494.72/3,743.16 = 956.80/x
  3. Step 3: Cross multiply
    2,494.72x = 3,743.16 × 956.80
  4. Step 4: Simplify right side
    2,494.72x = 3,581,455.49
  5. Step 5: Solve for x
    x = 3,581,455.49/2,494.72
  6. Step 6: Final answer
    x = 1,435.61

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