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Finding the Fourth Proportional to 1,899.64, 2,850.83 and 804.31

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Solution

The fourth proportional to 1,899.64, 2,850.83 and 804.31 is: 1,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.64 : 2,850.83 = 804.31 : x
  2. Step 2: Convert to fraction form
    1,899.64/2,850.83 = 804.31/x
  3. Step 3: Cross multiply
    1,899.64x = 2,850.83 × 804.31
  4. Step 4: Simplify right side
    1,899.64x = 2,292,951.08
  5. Step 5: Solve for x
    x = 2,292,951.08/1,899.64
  6. Step 6: Final answer
    x = 1,207.05

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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.