Home / 1,405.20-2,105.64-857.24

Finding the Fourth Proportional to 1,405.20, 2,105.64 and 857.24

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Solution

The fourth proportional to 1,405.20, 2,105.64 and 857.24 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.20 : 2,105.64 = 857.24 : x
  2. Step 2: Convert to fraction form
    1,405.20/2,105.64 = 857.24/x
  3. Step 3: Cross multiply
    1,405.20x = 2,105.64 × 857.24
  4. Step 4: Simplify right side
    1,405.20x = 1,805,028.31
  5. Step 5: Solve for x
    x = 1,805,028.31/1,405.20
  6. Step 6: Final answer
    x = 1,284.53

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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.