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Finding the Fourth Proportional to 1,609.19, 2,221.08 and 910.97

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Solution

The fourth proportional to 1,609.19, 2,221.08 and 910.97 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.19 : 2,221.08 = 910.97 : x
  2. Step 2: Convert to fraction form
    1,609.19/2,221.08 = 910.97/x
  3. Step 3: Cross multiply
    1,609.19x = 2,221.08 × 910.97
  4. Step 4: Simplify right side
    1,609.19x = 2,023,337.25
  5. Step 5: Solve for x
    x = 2,023,337.25/1,609.19
  6. Step 6: Final answer
    x = 1,257.36

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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.