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Finding the Fourth Proportional to 4,456.30, 6,682.16 and 1,493.68

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Solution

The fourth proportional to 4,456.30, 6,682.16 and 1,493.68 is: 2,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.30 : 6,682.16 = 1,493.68 : x
  2. Step 2: Convert to fraction form
    4,456.30/6,682.16 = 1,493.68/x
  3. Step 3: Cross multiply
    4,456.30x = 6,682.16 × 1,493.68
  4. Step 4: Simplify right side
    4,456.30x = 9,981,008.75
  5. Step 5: Solve for x
    x = 9,981,008.75/4,456.30
  6. Step 6: Final answer
    x = 2,239.75

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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.