Home / 1,905.24-2,858.16-809.61

Finding the Fourth Proportional to 1,905.24, 2,858.16 and 809.61

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Solution

The fourth proportional to 1,905.24, 2,858.16 and 809.61 is: 1,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.24 : 2,858.16 = 809.61 : x
  2. Step 2: Convert to fraction form
    1,905.24/2,858.16 = 809.61/x
  3. Step 3: Cross multiply
    1,905.24x = 2,858.16 × 809.61
  4. Step 4: Simplify right side
    1,905.24x = 2,313,994.92
  5. Step 5: Solve for x
    x = 2,313,994.92/1,905.24
  6. Step 6: Final answer
    x = 1,214.54

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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.