Home / 1,609.40-2,221.50-946.22

Finding the Fourth Proportional to 1,609.40, 2,221.50 and 946.22

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Solution

The fourth proportional to 1,609.40, 2,221.50 and 946.22 is: 1,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.40 : 2,221.50 = 946.22 : x
  2. Step 2: Convert to fraction form
    1,609.40/2,221.50 = 946.22/x
  3. Step 3: Cross multiply
    1,609.40x = 2,221.50 × 946.22
  4. Step 4: Simplify right side
    1,609.40x = 2,102,027.73
  5. Step 5: Solve for x
    x = 2,102,027.73/1,609.40
  6. Step 6: Final answer
    x = 1,306.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.