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Finding the Fourth Proportional to 3,131.96, 4,698.06 and 1,052.04

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Solution

The fourth proportional to 3,131.96, 4,698.06 and 1,052.04 is: 1,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.96 : 4,698.06 = 1,052.04 : x
  2. Step 2: Convert to fraction form
    3,131.96/4,698.06 = 1,052.04/x
  3. Step 3: Cross multiply
    3,131.96x = 4,698.06 × 1,052.04
  4. Step 4: Simplify right side
    3,131.96x = 4,942,520.92
  5. Step 5: Solve for x
    x = 4,942,520.92/3,131.96
  6. Step 6: Final answer
    x = 1,578.09

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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.