Home / 1,726.14-2,382.09-1,027.38

Finding the Fourth Proportional to 1,726.14, 2,382.09 and 1,027.38

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Solution

The fourth proportional to 1,726.14, 2,382.09 and 1,027.38 is: 1,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.14 : 2,382.09 = 1,027.38 : x
  2. Step 2: Convert to fraction form
    1,726.14/2,382.09 = 1,027.38/x
  3. Step 3: Cross multiply
    1,726.14x = 2,382.09 × 1,027.38
  4. Step 4: Simplify right side
    1,726.14x = 2,447,311.62
  5. Step 5: Solve for x
    x = 2,447,311.62/1,726.14
  6. Step 6: Final answer
    x = 1,417.79

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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.