Home / 1,634.21-2,456.17-769.13

Finding the Fourth Proportional to 1,634.21, 2,456.17 and 769.13

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Solution

The fourth proportional to 1,634.21, 2,456.17 and 769.13 is: 1,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.21 : 2,456.17 = 769.13 : x
  2. Step 2: Convert to fraction form
    1,634.21/2,456.17 = 769.13/x
  3. Step 3: Cross multiply
    1,634.21x = 2,456.17 × 769.13
  4. Step 4: Simplify right side
    1,634.21x = 1,889,113.37
  5. Step 5: Solve for x
    x = 1,889,113.37/1,634.21
  6. Step 6: Final answer
    x = 1,155.98

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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.