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Finding the Fourth Proportional to 2,574.49, 3,550.13 and 2,202.70

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Solution

The fourth proportional to 2,574.49, 3,550.13 and 2,202.70 is: 3,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.49 : 3,550.13 = 2,202.70 : x
  2. Step 2: Convert to fraction form
    2,574.49/3,550.13 = 2,202.70/x
  3. Step 3: Cross multiply
    2,574.49x = 3,550.13 × 2,202.70
  4. Step 4: Simplify right side
    2,574.49x = 7,819,871.35
  5. Step 5: Solve for x
    x = 7,819,871.35/2,574.49
  6. Step 6: Final answer
    x = 3,037.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.