Home / 1,536.25-2,119.43-945.76

Finding the Fourth Proportional to 1,536.25, 2,119.43 and 945.76

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Solution

The fourth proportional to 1,536.25, 2,119.43 and 945.76 is: 1,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.25 : 2,119.43 = 945.76 : x
  2. Step 2: Convert to fraction form
    1,536.25/2,119.43 = 945.76/x
  3. Step 3: Cross multiply
    1,536.25x = 2,119.43 × 945.76
  4. Step 4: Simplify right side
    1,536.25x = 2,004,472.12
  5. Step 5: Solve for x
    x = 2,004,472.12/1,536.25
  6. Step 6: Final answer
    x = 1,304.78

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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.