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Finding the Fourth Proportional to 2,574.27, 3,550.83 and 1,628.39

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Solution

The fourth proportional to 2,574.27, 3,550.83 and 1,628.39 is: 2,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.27 : 3,550.83 = 1,628.39 : x
  2. Step 2: Convert to fraction form
    2,574.27/3,550.83 = 1,628.39/x
  3. Step 3: Cross multiply
    2,574.27x = 3,550.83 × 1,628.39
  4. Step 4: Simplify right side
    2,574.27x = 5,782,136.06
  5. Step 5: Solve for x
    x = 5,782,136.06/2,574.27
  6. Step 6: Final answer
    x = 2,246.13

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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.