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Finding the Fourth Proportional to 2,548.53, 3,822.39 and 816.75

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Solution

The fourth proportional to 2,548.53, 3,822.39 and 816.75 is: 1,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.53 : 3,822.39 = 816.75 : x
  2. Step 2: Convert to fraction form
    2,548.53/3,822.39 = 816.75/x
  3. Step 3: Cross multiply
    2,548.53x = 3,822.39 × 816.75
  4. Step 4: Simplify right side
    2,548.53x = 3,121,937.03
  5. Step 5: Solve for x
    x = 3,121,937.03/2,548.53
  6. Step 6: Final answer
    x = 1,225.00

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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.