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Finding the Fourth Proportional to 1,965.56, 2,711.56 and 1,178.24

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Solution

The fourth proportional to 1,965.56, 2,711.56 and 1,178.24 is: 1,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.56 : 2,711.56 = 1,178.24 : x
  2. Step 2: Convert to fraction form
    1,965.56/2,711.56 = 1,178.24/x
  3. Step 3: Cross multiply
    1,965.56x = 2,711.56 × 1,178.24
  4. Step 4: Simplify right side
    1,965.56x = 3,194,868.45
  5. Step 5: Solve for x
    x = 3,194,868.45/1,965.56
  6. Step 6: Final answer
    x = 1,625.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.