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Finding the Fourth Proportional to 2,574.45, 3,867.84 and 1,651.82

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Solution

The fourth proportional to 2,574.45, 3,867.84 and 1,651.82 is: 2,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.45 : 3,867.84 = 1,651.82 : x
  2. Step 2: Convert to fraction form
    2,574.45/3,867.84 = 1,651.82/x
  3. Step 3: Cross multiply
    2,574.45x = 3,867.84 × 1,651.82
  4. Step 4: Simplify right side
    2,574.45x = 6,388,956.13
  5. Step 5: Solve for x
    x = 6,388,956.13/2,574.45
  6. Step 6: Final answer
    x = 2,481.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.