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Finding the Fourth Proportional to 2,857.36, 4,284.42 and 1,394.68

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Solution

The fourth proportional to 2,857.36, 4,284.42 and 1,394.68 is: 2,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.36 : 4,284.42 = 1,394.68 : x
  2. Step 2: Convert to fraction form
    2,857.36/4,284.42 = 1,394.68/x
  3. Step 3: Cross multiply
    2,857.36x = 4,284.42 × 1,394.68
  4. Step 4: Simplify right side
    2,857.36x = 5,975,394.89
  5. Step 5: Solve for x
    x = 5,975,394.89/2,857.36
  6. Step 6: Final answer
    x = 2,091.23

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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.