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Finding the Fourth Proportional to 1,883.64, 2,824.80 and 567

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Solution

The fourth proportional to 1,883.64, 2,824.80 and 567 is: 850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.64 : 2,824.80 = 567 : x
  2. Step 2: Convert to fraction form
    1,883.64/2,824.80 = 567/x
  3. Step 3: Cross multiply
    1,883.64x = 2,824.80 × 567
  4. Step 4: Simplify right side
    1,883.64x = 1,601,661.60
  5. Step 5: Solve for x
    x = 1,601,661.60/1,883.64
  6. Step 6: Final answer
    x = 850.30

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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.