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Finding the Fourth Proportional to 2,343.30, 3,514.91 and 611.92

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Solution

The fourth proportional to 2,343.30, 3,514.91 and 611.92 is: 917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.30 : 3,514.91 = 611.92 : x
  2. Step 2: Convert to fraction form
    2,343.30/3,514.91 = 611.92/x
  3. Step 3: Cross multiply
    2,343.30x = 3,514.91 × 611.92
  4. Step 4: Simplify right side
    2,343.30x = 2,150,845.06
  5. Step 5: Solve for x
    x = 2,150,845.06/2,343.30
  6. Step 6: Final answer
    x = 917.87

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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.