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Finding the Fourth Proportional to 1,965.72, 2,713.20 and 1,219.24

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Solution

The fourth proportional to 1,965.72, 2,713.20 and 1,219.24 is: 1,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.72 : 2,713.20 = 1,219.24 : x
  2. Step 2: Convert to fraction form
    1,965.72/2,713.20 = 1,219.24/x
  3. Step 3: Cross multiply
    1,965.72x = 2,713.20 × 1,219.24
  4. Step 4: Simplify right side
    1,965.72x = 3,308,041.97
  5. Step 5: Solve for x
    x = 3,308,041.97/1,965.72
  6. Step 6: Final answer
    x = 1,682.87

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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.