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Finding the Fourth Proportional to 2,965.94, 4,449.11 and 1,019.51

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Solution

The fourth proportional to 2,965.94, 4,449.11 and 1,019.51 is: 1,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.94 : 4,449.11 = 1,019.51 : x
  2. Step 2: Convert to fraction form
    2,965.94/4,449.11 = 1,019.51/x
  3. Step 3: Cross multiply
    2,965.94x = 4,449.11 × 1,019.51
  4. Step 4: Simplify right side
    2,965.94x = 4,535,884.79
  5. Step 5: Solve for x
    x = 4,535,884.79/2,965.94
  6. Step 6: Final answer
    x = 1,529.33

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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.