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Finding the Fourth Proportional to 2,771.97, 4,157.64 and 1,018.32

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Solution

The fourth proportional to 2,771.97, 4,157.64 and 1,018.32 is: 1,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.97 : 4,157.64 = 1,018.32 : x
  2. Step 2: Convert to fraction form
    2,771.97/4,157.64 = 1,018.32/x
  3. Step 3: Cross multiply
    2,771.97x = 4,157.64 × 1,018.32
  4. Step 4: Simplify right side
    2,771.97x = 4,233,807.96
  5. Step 5: Solve for x
    x = 4,233,807.96/2,771.97
  6. Step 6: Final answer
    x = 1,527.36

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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.