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Finding the Fourth Proportional to 3,448.14, 4,758.93 and 1,956.44

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Solution

The fourth proportional to 3,448.14, 4,758.93 and 1,956.44 is: 2,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.14 : 4,758.93 = 1,956.44 : x
  2. Step 2: Convert to fraction form
    3,448.14/4,758.93 = 1,956.44/x
  3. Step 3: Cross multiply
    3,448.14x = 4,758.93 × 1,956.44
  4. Step 4: Simplify right side
    3,448.14x = 9,310,537.21
  5. Step 5: Solve for x
    x = 9,310,537.21/3,448.14
  6. Step 6: Final answer
    x = 2,700.16

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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.