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Finding the Fourth Proportional to 2,857.40, 4,281.30 and 1,393.40

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Solution

The fourth proportional to 2,857.40, 4,281.30 and 1,393.40 is: 2,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 4,281.30 = 1,393.40 : x
  2. Step 2: Convert to fraction form
    2,857.40/4,281.30 = 1,393.40/x
  3. Step 3: Cross multiply
    2,857.40x = 4,281.30 × 1,393.40
  4. Step 4: Simplify right side
    2,857.40x = 5,965,563.42
  5. Step 5: Solve for x
    x = 5,965,563.42/2,857.40
  6. Step 6: Final answer
    x = 2,087.76

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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.