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Finding the Fourth Proportional to 2,047.31, 2,825.15 and 1,208.05

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Solution

The fourth proportional to 2,047.31, 2,825.15 and 1,208.05 is: 1,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.31 : 2,825.15 = 1,208.05 : x
  2. Step 2: Convert to fraction form
    2,047.31/2,825.15 = 1,208.05/x
  3. Step 3: Cross multiply
    2,047.31x = 2,825.15 × 1,208.05
  4. Step 4: Simplify right side
    2,047.31x = 3,412,922.46
  5. Step 5: Solve for x
    x = 3,412,922.46/2,047.31
  6. Step 6: Final answer
    x = 1,667.03

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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.