Home / 2,057.12-3,084.32-1,016.64

Finding the Fourth Proportional to 2,057.12, 3,084.32 and 1,016.64

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Solution

The fourth proportional to 2,057.12, 3,084.32 and 1,016.64 is: 1,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.12 : 3,084.32 = 1,016.64 : x
  2. Step 2: Convert to fraction form
    2,057.12/3,084.32 = 1,016.64/x
  3. Step 3: Cross multiply
    2,057.12x = 3,084.32 × 1,016.64
  4. Step 4: Simplify right side
    2,057.12x = 3,135,643.08
  5. Step 5: Solve for x
    x = 3,135,643.08/2,057.12
  6. Step 6: Final answer
    x = 1,524.29

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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.