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Finding the Fourth Proportional to 2,549.68, 3,825.09 and 906.22

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Solution

The fourth proportional to 2,549.68, 3,825.09 and 906.22 is: 1,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.68 : 3,825.09 = 906.22 : x
  2. Step 2: Convert to fraction form
    2,549.68/3,825.09 = 906.22/x
  3. Step 3: Cross multiply
    2,549.68x = 3,825.09 × 906.22
  4. Step 4: Simplify right side
    2,549.68x = 3,466,373.06
  5. Step 5: Solve for x
    x = 3,466,373.06/2,549.68
  6. Step 6: Final answer
    x = 1,359.53

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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.