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Finding the Fourth Proportional to 1,609.27, 2,220.26 and 945.88

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Solution

The fourth proportional to 1,609.27, 2,220.26 and 945.88 is: 1,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.27 : 2,220.26 = 945.88 : x
  2. Step 2: Convert to fraction form
    1,609.27/2,220.26 = 945.88/x
  3. Step 3: Cross multiply
    1,609.27x = 2,220.26 × 945.88
  4. Step 4: Simplify right side
    1,609.27x = 2,100,094.57
  5. Step 5: Solve for x
    x = 2,100,094.57/1,609.27
  6. Step 6: Final answer
    x = 1,305.00

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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.