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Finding the Fourth Proportional to 2,549.49, 3,824.63 and 905.91

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Solution

The fourth proportional to 2,549.49, 3,824.63 and 905.91 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.49 : 3,824.63 = 905.91 : x
  2. Step 2: Convert to fraction form
    2,549.49/3,824.63 = 905.91/x
  3. Step 3: Cross multiply
    2,549.49x = 3,824.63 × 905.91
  4. Step 4: Simplify right side
    2,549.49x = 3,464,766.03
  5. Step 5: Solve for x
    x = 3,464,766.03/2,549.49
  6. Step 6: Final answer
    x = 1,359.00

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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.