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Finding the Fourth Proportional to 3,145.62, 4,716.52 and 1,297.94

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Solution

The fourth proportional to 3,145.62, 4,716.52 and 1,297.94 is: 1,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.62 : 4,716.52 = 1,297.94 : x
  2. Step 2: Convert to fraction form
    3,145.62/4,716.52 = 1,297.94/x
  3. Step 3: Cross multiply
    3,145.62x = 4,716.52 × 1,297.94
  4. Step 4: Simplify right side
    3,145.62x = 6,121,759.97
  5. Step 5: Solve for x
    x = 6,121,759.97/3,145.62
  6. Step 6: Final answer
    x = 1,946.12

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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.