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Finding the Fourth Proportional to 1,965.56, 2,709.56 and 1,257.30

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Solution

The fourth proportional to 1,965.56, 2,709.56 and 1,257.30 is: 1,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.56 : 2,709.56 = 1,257.30 : x
  2. Step 2: Convert to fraction form
    1,965.56/2,709.56 = 1,257.30/x
  3. Step 3: Cross multiply
    1,965.56x = 2,709.56 × 1,257.30
  4. Step 4: Simplify right side
    1,965.56x = 3,406,729.79
  5. Step 5: Solve for x
    x = 3,406,729.79/1,965.56
  6. Step 6: Final answer
    x = 1,733.21

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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.