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Finding the Fourth Proportional to 2,242.86, 3,094.81 and 1,285.64

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Solution

The fourth proportional to 2,242.86, 3,094.81 and 1,285.64 is: 1,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.86 : 3,094.81 = 1,285.64 : x
  2. Step 2: Convert to fraction form
    2,242.86/3,094.81 = 1,285.64/x
  3. Step 3: Cross multiply
    2,242.86x = 3,094.81 × 1,285.64
  4. Step 4: Simplify right side
    2,242.86x = 3,978,796.05
  5. Step 5: Solve for x
    x = 3,978,796.05/2,242.86
  6. Step 6: Final answer
    x = 1,773.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.