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Finding the Fourth Proportional to 1,609.23, 2,220.78 and 910.62

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Solution

The fourth proportional to 1,609.23, 2,220.78 and 910.62 is: 1,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.23 : 2,220.78 = 910.62 : x
  2. Step 2: Convert to fraction form
    1,609.23/2,220.78 = 910.62/x
  3. Step 3: Cross multiply
    1,609.23x = 2,220.78 × 910.62
  4. Step 4: Simplify right side
    1,609.23x = 2,022,286.68
  5. Step 5: Solve for x
    x = 2,022,286.68/1,609.23
  6. Step 6: Final answer
    x = 1,256.68

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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.