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Finding the Fourth Proportional to 2,857.68, 4,281.42 and 2,442.60

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Solution

The fourth proportional to 2,857.68, 4,281.42 and 2,442.60 is: 3,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.68 : 4,281.42 = 2,442.60 : x
  2. Step 2: Convert to fraction form
    2,857.68/4,281.42 = 2,442.60/x
  3. Step 3: Cross multiply
    2,857.68x = 4,281.42 × 2,442.60
  4. Step 4: Simplify right side
    2,857.68x = 10,457,796.49
  5. Step 5: Solve for x
    x = 10,457,796.49/2,857.68
  6. Step 6: Final answer
    x = 3,659.54

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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.