Home / 2,305.04-3,174.48-2,297.84

Finding the Fourth Proportional to 2,305.04, 3,174.48 and 2,297.84

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Solution

The fourth proportional to 2,305.04, 3,174.48 and 2,297.84 is: 3,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.04 : 3,174.48 = 2,297.84 : x
  2. Step 2: Convert to fraction form
    2,305.04/3,174.48 = 2,297.84/x
  3. Step 3: Cross multiply
    2,305.04x = 3,174.48 × 2,297.84
  4. Step 4: Simplify right side
    2,305.04x = 7,294,447.12
  5. Step 5: Solve for x
    x = 7,294,447.12/2,305.04
  6. Step 6: Final answer
    x = 3,164.56

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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.