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Finding the Fourth Proportional to 2,004.84, 2,765.20 and 1,447.15

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Solution

The fourth proportional to 2,004.84, 2,765.20 and 1,447.15 is: 1,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.84 : 2,765.20 = 1,447.15 : x
  2. Step 2: Convert to fraction form
    2,004.84/2,765.20 = 1,447.15/x
  3. Step 3: Cross multiply
    2,004.84x = 2,765.20 × 1,447.15
  4. Step 4: Simplify right side
    2,004.84x = 4,001,659.18
  5. Step 5: Solve for x
    x = 4,001,659.18/2,004.84
  6. Step 6: Final answer
    x = 1,996.00

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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.