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Finding the Fourth Proportional to 2,892.32, 3,989.76 and 2,008.88

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Solution

The fourth proportional to 2,892.32, 3,989.76 and 2,008.88 is: 2,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.32 : 3,989.76 = 2,008.88 : x
  2. Step 2: Convert to fraction form
    2,892.32/3,989.76 = 2,008.88/x
  3. Step 3: Cross multiply
    2,892.32x = 3,989.76 × 2,008.88
  4. Step 4: Simplify right side
    2,892.32x = 8,014,949.07
  5. Step 5: Solve for x
    x = 8,014,949.07/2,892.32
  6. Step 6: Final answer
    x = 2,771.11

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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.