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Finding the Fourth Proportional to 2,343.20, 3,514.82 and 611.82

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Solution

The fourth proportional to 2,343.20, 3,514.82 and 611.82 is: 917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.20 : 3,514.82 = 611.82 : x
  2. Step 2: Convert to fraction form
    2,343.20/3,514.82 = 611.82/x
  3. Step 3: Cross multiply
    2,343.20x = 3,514.82 × 611.82
  4. Step 4: Simplify right side
    2,343.20x = 2,150,434.11
  5. Step 5: Solve for x
    x = 2,150,434.11/2,343.20
  6. Step 6: Final answer
    x = 917.74

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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.