Home / 1,909.24-2,634.54-1,164.28

Finding the Fourth Proportional to 1,909.24, 2,634.54 and 1,164.28

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Solution

The fourth proportional to 1,909.24, 2,634.54 and 1,164.28 is: 1,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.24 : 2,634.54 = 1,164.28 : x
  2. Step 2: Convert to fraction form
    1,909.24/2,634.54 = 1,164.28/x
  3. Step 3: Cross multiply
    1,909.24x = 2,634.54 × 1,164.28
  4. Step 4: Simplify right side
    1,909.24x = 3,067,342.23
  5. Step 5: Solve for x
    x = 3,067,342.23/1,909.24
  6. Step 6: Final answer
    x = 1,606.58

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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.