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Finding the Fourth Proportional to 2,504.96, 3,757.64 and 726.04

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Solution

The fourth proportional to 2,504.96, 3,757.64 and 726.04 is: 1,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.96 : 3,757.64 = 726.04 : x
  2. Step 2: Convert to fraction form
    2,504.96/3,757.64 = 726.04/x
  3. Step 3: Cross multiply
    2,504.96x = 3,757.64 × 726.04
  4. Step 4: Simplify right side
    2,504.96x = 2,728,196.95
  5. Step 5: Solve for x
    x = 2,728,196.95/2,504.96
  6. Step 6: Final answer
    x = 1,089.12

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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.