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Finding the Fourth Proportional to 3,106.08, 4,659.04 and 1,257.16

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Solution

The fourth proportional to 3,106.08, 4,659.04 and 1,257.16 is: 1,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.08 : 4,659.04 = 1,257.16 : x
  2. Step 2: Convert to fraction form
    3,106.08/4,659.04 = 1,257.16/x
  3. Step 3: Cross multiply
    3,106.08x = 4,659.04 × 1,257.16
  4. Step 4: Simplify right side
    3,106.08x = 5,857,158.73
  5. Step 5: Solve for x
    x = 5,857,158.73/3,106.08
  6. Step 6: Final answer
    x = 1,885.71

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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.