Home / 1,609.73-2,221.39-946.43

Finding the Fourth Proportional to 1,609.73, 2,221.39 and 946.43

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Solution

The fourth proportional to 1,609.73, 2,221.39 and 946.43 is: 1,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.73 : 2,221.39 = 946.43 : x
  2. Step 2: Convert to fraction form
    1,609.73/2,221.39 = 946.43/x
  3. Step 3: Cross multiply
    1,609.73x = 2,221.39 × 946.43
  4. Step 4: Simplify right side
    1,609.73x = 2,102,385.41
  5. Step 5: Solve for x
    x = 2,102,385.41/1,609.73
  6. Step 6: Final answer
    x = 1,306.05

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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.