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Finding the Fourth Proportional to 2,643.80, 3,965.58 and 1,256.12

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Solution

The fourth proportional to 2,643.80, 3,965.58 and 1,256.12 is: 1,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.80 : 3,965.58 = 1,256.12 : x
  2. Step 2: Convert to fraction form
    2,643.80/3,965.58 = 1,256.12/x
  3. Step 3: Cross multiply
    2,643.80x = 3,965.58 × 1,256.12
  4. Step 4: Simplify right side
    2,643.80x = 4,981,244.35
  5. Step 5: Solve for x
    x = 4,981,244.35/2,643.80
  6. Step 6: Final answer
    x = 1,884.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.