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Finding the Fourth Proportional to 2,530.91, 3,797.28 and 1,806.17

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Solution

The fourth proportional to 2,530.91, 3,797.28 and 1,806.17 is: 2,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.91 : 3,797.28 = 1,806.17 : x
  2. Step 2: Convert to fraction form
    2,530.91/3,797.28 = 1,806.17/x
  3. Step 3: Cross multiply
    2,530.91x = 3,797.28 × 1,806.17
  4. Step 4: Simplify right side
    2,530.91x = 6,858,514.23
  5. Step 5: Solve for x
    x = 6,858,514.23/2,530.91
  6. Step 6: Final answer
    x = 2,709.90

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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.