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Finding the Fourth Proportional to 2,010.08, 2,774.24 and 1,202.48

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Solution

The fourth proportional to 2,010.08, 2,774.24 and 1,202.48 is: 1,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.08 : 2,774.24 = 1,202.48 : x
  2. Step 2: Convert to fraction form
    2,010.08/2,774.24 = 1,202.48/x
  3. Step 3: Cross multiply
    2,010.08x = 2,774.24 × 1,202.48
  4. Step 4: Simplify right side
    2,010.08x = 3,335,969.04
  5. Step 5: Solve for x
    x = 3,335,969.04/2,010.08
  6. Step 6: Final answer
    x = 1,659.62

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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.