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Finding the Fourth Proportional to 1,905.38, 2,858.37 and 809.75

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Solution

The fourth proportional to 1,905.38, 2,858.37 and 809.75 is: 1,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.38 : 2,858.37 = 809.75 : x
  2. Step 2: Convert to fraction form
    1,905.38/2,858.37 = 809.75/x
  3. Step 3: Cross multiply
    1,905.38x = 2,858.37 × 809.75
  4. Step 4: Simplify right side
    1,905.38x = 2,314,565.11
  5. Step 5: Solve for x
    x = 2,314,565.11/1,905.38
  6. Step 6: Final answer
    x = 1,214.75

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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.