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Finding the Fourth Proportional to 1,601.26, 2,209.82 and 902.68

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Solution

The fourth proportional to 1,601.26, 2,209.82 and 902.68 is: 1,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.26 : 2,209.82 = 902.68 : x
  2. Step 2: Convert to fraction form
    1,601.26/2,209.82 = 902.68/x
  3. Step 3: Cross multiply
    1,601.26x = 2,209.82 × 902.68
  4. Step 4: Simplify right side
    1,601.26x = 1,994,760.32
  5. Step 5: Solve for x
    x = 1,994,760.32/1,601.26
  6. Step 6: Final answer
    x = 1,245.74

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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.