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Finding the Fourth Proportional to 2,857.57, 4,284.87 and 1,103.19

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Solution

The fourth proportional to 2,857.57, 4,284.87 and 1,103.19 is: 1,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.57 : 4,284.87 = 1,103.19 : x
  2. Step 2: Convert to fraction form
    2,857.57/4,284.87 = 1,103.19/x
  3. Step 3: Cross multiply
    2,857.57x = 4,284.87 × 1,103.19
  4. Step 4: Simplify right side
    2,857.57x = 4,727,014.84
  5. Step 5: Solve for x
    x = 4,727,014.84/2,857.57
  6. Step 6: Final answer
    x = 1,654.21

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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.