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Finding the Fourth Proportional to 1,905.22, 2,858.91 and 809.47

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Solution

The fourth proportional to 1,905.22, 2,858.91 and 809.47 is: 1,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.22 : 2,858.91 = 809.47 : x
  2. Step 2: Convert to fraction form
    1,905.22/2,858.91 = 809.47/x
  3. Step 3: Cross multiply
    1,905.22x = 2,858.91 × 809.47
  4. Step 4: Simplify right side
    1,905.22x = 2,314,201.88
  5. Step 5: Solve for x
    x = 2,314,201.88/1,905.22
  6. Step 6: Final answer
    x = 1,214.66

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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.