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Finding the Fourth Proportional to 1,601.52, 2,209.84 and 902.80

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Solution

The fourth proportional to 1,601.52, 2,209.84 and 902.80 is: 1,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.52 : 2,209.84 = 902.80 : x
  2. Step 2: Convert to fraction form
    1,601.52/2,209.84 = 902.80/x
  3. Step 3: Cross multiply
    1,601.52x = 2,209.84 × 902.80
  4. Step 4: Simplify right side
    1,601.52x = 1,995,043.55
  5. Step 5: Solve for x
    x = 1,995,043.55/1,601.52
  6. Step 6: Final answer
    x = 1,245.72

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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.