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Finding the Fourth Proportional to 1,609.23, 2,220.70 and 945.93

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Solution

The fourth proportional to 1,609.23, 2,220.70 and 945.93 is: 1,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.23 : 2,220.70 = 945.93 : x
  2. Step 2: Convert to fraction form
    1,609.23/2,220.70 = 945.93/x
  3. Step 3: Cross multiply
    1,609.23x = 2,220.70 × 945.93
  4. Step 4: Simplify right side
    1,609.23x = 2,100,622.02
  5. Step 5: Solve for x
    x = 2,100,622.02/1,609.23
  6. Step 6: Final answer
    x = 1,305.36

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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.