Home / 1,660.49-2,291.42-914.43

Finding the Fourth Proportional to 1,660.49, 2,291.42 and 914.43

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Solution

The fourth proportional to 1,660.49, 2,291.42 and 914.43 is: 1,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.49 : 2,291.42 = 914.43 : x
  2. Step 2: Convert to fraction form
    1,660.49/2,291.42 = 914.43/x
  3. Step 3: Cross multiply
    1,660.49x = 2,291.42 × 914.43
  4. Step 4: Simplify right side
    1,660.49x = 2,095,338.62
  5. Step 5: Solve for x
    x = 2,095,338.62/1,660.49
  6. Step 6: Final answer
    x = 1,261.88

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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.