Home / 2,305.24-3,181.68-1,409.38

Finding the Fourth Proportional to 2,305.24, 3,181.68 and 1,409.38

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Solution

The fourth proportional to 2,305.24, 3,181.68 and 1,409.38 is: 1,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.24 : 3,181.68 = 1,409.38 : x
  2. Step 2: Convert to fraction form
    2,305.24/3,181.68 = 1,409.38/x
  3. Step 3: Cross multiply
    2,305.24x = 3,181.68 × 1,409.38
  4. Step 4: Simplify right side
    2,305.24x = 4,484,196.16
  5. Step 5: Solve for x
    x = 4,484,196.16/2,305.24
  6. Step 6: Final answer
    x = 1,945.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.