Home / 1,660.26-2,291.22-914.31

Finding the Fourth Proportional to 1,660.26, 2,291.22 and 914.31

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Solution

The fourth proportional to 1,660.26, 2,291.22 and 914.31 is: 1,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.26 : 2,291.22 = 914.31 : x
  2. Step 2: Convert to fraction form
    1,660.26/2,291.22 = 914.31/x
  3. Step 3: Cross multiply
    1,660.26x = 2,291.22 × 914.31
  4. Step 4: Simplify right side
    1,660.26x = 2,094,885.36
  5. Step 5: Solve for x
    x = 2,094,885.36/1,660.26
  6. Step 6: Final answer
    x = 1,261.78

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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.