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Finding the Fourth Proportional to 1,965.78, 2,943.80 and 1,141.55

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Solution

The fourth proportional to 1,965.78, 2,943.80 and 1,141.55 is: 1,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.78 : 2,943.80 = 1,141.55 : x
  2. Step 2: Convert to fraction form
    1,965.78/2,943.80 = 1,141.55/x
  3. Step 3: Cross multiply
    1,965.78x = 2,943.80 × 1,141.55
  4. Step 4: Simplify right side
    1,965.78x = 3,360,505.10
  5. Step 5: Solve for x
    x = 3,360,505.10/1,965.78
  6. Step 6: Final answer
    x = 1,709.50

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Why These Related Problems?

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