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Finding the Fourth Proportional to 1,261.40, 1,769.20 and 1,261.40

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Solution

The fourth proportional to 1,261.40, 1,769.20 and 1,261.40 is: 1,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.40 : 1,769.20 = 1,261.40 : x
  2. Step 2: Convert to fraction form
    1,261.40/1,769.20 = 1,261.40/x
  3. Step 3: Cross multiply
    1,261.40x = 1,769.20 × 1,261.40
  4. Step 4: Simplify right side
    1,261.40x = 2,231,668.88
  5. Step 5: Solve for x
    x = 2,231,668.88/1,261.40
  6. Step 6: Final answer
    x = 1,769.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.