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Finding the Fourth Proportional to 2,537.40, 3,806.70 and 806.04

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Solution

The fourth proportional to 2,537.40, 3,806.70 and 806.04 is: 1,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.40 : 3,806.70 = 806.04 : x
  2. Step 2: Convert to fraction form
    2,537.40/3,806.70 = 806.04/x
  3. Step 3: Cross multiply
    2,537.40x = 3,806.70 × 806.04
  4. Step 4: Simplify right side
    2,537.40x = 3,068,352.47
  5. Step 5: Solve for x
    x = 3,068,352.47/2,537.40
  6. Step 6: Final answer
    x = 1,209.25

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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.