Home / 1,517.38-2,277.03-869.38

Finding the Fourth Proportional to 1,517.38, 2,277.03 and 869.38

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Solution

The fourth proportional to 1,517.38, 2,277.03 and 869.38 is: 1,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.38 : 2,277.03 = 869.38 : x
  2. Step 2: Convert to fraction form
    1,517.38/2,277.03 = 869.38/x
  3. Step 3: Cross multiply
    1,517.38x = 2,277.03 × 869.38
  4. Step 4: Simplify right side
    1,517.38x = 1,979,604.34
  5. Step 5: Solve for x
    x = 1,979,604.34/1,517.38
  6. Step 6: Final answer
    x = 1,304.62

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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.