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Finding the Fourth Proportional to 1,609.43, 2,221.04 and 946.15

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Solution

The fourth proportional to 1,609.43, 2,221.04 and 946.15 is: 1,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.43 : 2,221.04 = 946.15 : x
  2. Step 2: Convert to fraction form
    1,609.43/2,221.04 = 946.15/x
  3. Step 3: Cross multiply
    1,609.43x = 2,221.04 × 946.15
  4. Step 4: Simplify right side
    1,609.43x = 2,101,433.81
  5. Step 5: Solve for x
    x = 2,101,433.81/1,609.43
  6. Step 6: Final answer
    x = 1,305.70

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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.