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Finding the Fourth Proportional to 2,451.52, 3,679.71 and 1,994.68

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Solution

The fourth proportional to 2,451.52, 3,679.71 and 1,994.68 is: 2,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.52 : 3,679.71 = 1,994.68 : x
  2. Step 2: Convert to fraction form
    2,451.52/3,679.71 = 1,994.68/x
  3. Step 3: Cross multiply
    2,451.52x = 3,679.71 × 1,994.68
  4. Step 4: Simplify right side
    2,451.52x = 7,339,843.94
  5. Step 5: Solve for x
    x = 7,339,843.94/2,451.52
  6. Step 6: Final answer
    x = 2,994.00

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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.