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Finding the Fourth Proportional to 2,857.42, 4,282.80 and 2,338.30

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Solution

The fourth proportional to 2,857.42, 4,282.80 and 2,338.30 is: 3,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.42 : 4,282.80 = 2,338.30 : x
  2. Step 2: Convert to fraction form
    2,857.42/4,282.80 = 2,338.30/x
  3. Step 3: Cross multiply
    2,857.42x = 4,282.80 × 2,338.30
  4. Step 4: Simplify right side
    2,857.42x = 10,014,471.24
  5. Step 5: Solve for x
    x = 10,014,471.24/2,857.42
  6. Step 6: Final answer
    x = 3,504.72

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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.