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Finding the Fourth Proportional to 1,609.78, 2,221.44 and 911.14

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Solution

The fourth proportional to 1,609.78, 2,221.44 and 911.14 is: 1,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.78 : 2,221.44 = 911.14 : x
  2. Step 2: Convert to fraction form
    1,609.78/2,221.44 = 911.14/x
  3. Step 3: Cross multiply
    1,609.78x = 2,221.44 × 911.14
  4. Step 4: Simplify right side
    1,609.78x = 2,024,042.84
  5. Step 5: Solve for x
    x = 2,024,042.84/1,609.78
  6. Step 6: Final answer
    x = 1,257.34

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1.5x scale

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.