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Finding the Fourth Proportional to 1,609.93, 2,221.73 and 911.30

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Solution

The fourth proportional to 1,609.93, 2,221.73 and 911.30 is: 1,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.93 : 2,221.73 = 911.30 : x
  2. Step 2: Convert to fraction form
    1,609.93/2,221.73 = 911.30/x
  3. Step 3: Cross multiply
    1,609.93x = 2,221.73 × 911.30
  4. Step 4: Simplify right side
    1,609.93x = 2,024,662.55
  5. Step 5: Solve for x
    x = 2,024,662.55/1,609.93
  6. Step 6: Final answer
    x = 1,257.61

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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.