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Finding the Fourth Proportional to 2,537.48, 3,806.19 and 806.11

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Solution

The fourth proportional to 2,537.48, 3,806.19 and 806.11 is: 1,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.48 : 3,806.19 = 806.11 : x
  2. Step 2: Convert to fraction form
    2,537.48/3,806.19 = 806.11/x
  3. Step 3: Cross multiply
    2,537.48x = 3,806.19 × 806.11
  4. Step 4: Simplify right side
    2,537.48x = 3,068,207.82
  5. Step 5: Solve for x
    x = 3,068,207.82/2,537.48
  6. Step 6: Final answer
    x = 1,209.16

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Why These Related Problems?

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