Home / 2,004.96-3,005.28-1,309.44

Finding the Fourth Proportional to 2,004.96, 3,005.28 and 1,309.44

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Solution

The fourth proportional to 2,004.96, 3,005.28 and 1,309.44 is: 1,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.96 : 3,005.28 = 1,309.44 : x
  2. Step 2: Convert to fraction form
    2,004.96/3,005.28 = 1,309.44/x
  3. Step 3: Cross multiply
    2,004.96x = 3,005.28 × 1,309.44
  4. Step 4: Simplify right side
    2,004.96x = 3,935,233.84
  5. Step 5: Solve for x
    x = 3,935,233.84/2,004.96
  6. Step 6: Final answer
    x = 1,962.75

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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.