Home / 1,578.88-2,178.07-949.11

Finding the Fourth Proportional to 1,578.88, 2,178.07 and 949.11

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Solution

The fourth proportional to 1,578.88, 2,178.07 and 949.11 is: 1,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.88 : 2,178.07 = 949.11 : x
  2. Step 2: Convert to fraction form
    1,578.88/2,178.07 = 949.11/x
  3. Step 3: Cross multiply
    1,578.88x = 2,178.07 × 949.11
  4. Step 4: Simplify right side
    1,578.88x = 2,067,228.02
  5. Step 5: Solve for x
    x = 2,067,228.02/1,578.88
  6. Step 6: Final answer
    x = 1,309.30

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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.