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Finding the Fourth Proportional to 2,574.71, 3,550.43 and 2,202.92

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Solution

The fourth proportional to 2,574.71, 3,550.43 and 2,202.92 is: 3,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.71 : 3,550.43 = 2,202.92 : x
  2. Step 2: Convert to fraction form
    2,574.71/3,550.43 = 2,202.92/x
  3. Step 3: Cross multiply
    2,574.71x = 3,550.43 × 2,202.92
  4. Step 4: Simplify right side
    2,574.71x = 7,821,319.38
  5. Step 5: Solve for x
    x = 7,821,319.38/2,574.71
  6. Step 6: Final answer
    x = 3,037.74

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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.