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Finding the Fourth Proportional to 2,549.74, 3,825.18 and 906.28

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Solution

The fourth proportional to 2,549.74, 3,825.18 and 906.28 is: 1,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.74 : 3,825.18 = 906.28 : x
  2. Step 2: Convert to fraction form
    2,549.74/3,825.18 = 906.28/x
  3. Step 3: Cross multiply
    2,549.74x = 3,825.18 × 906.28
  4. Step 4: Simplify right side
    2,549.74x = 3,466,665.00
  5. Step 5: Solve for x
    x = 3,466,665.00/2,549.74
  6. Step 6: Final answer
    x = 1,359.62

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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.