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Finding the Fourth Proportional to 2,971.96, 4,101.08 and 1,627.28

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Solution

The fourth proportional to 2,971.96, 4,101.08 and 1,627.28 is: 2,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.96 : 4,101.08 = 1,627.28 : x
  2. Step 2: Convert to fraction form
    2,971.96/4,101.08 = 1,627.28/x
  3. Step 3: Cross multiply
    2,971.96x = 4,101.08 × 1,627.28
  4. Step 4: Simplify right side
    2,971.96x = 6,673,589.03
  5. Step 5: Solve for x
    x = 6,673,589.03/2,971.96
  6. Step 6: Final answer
    x = 2,245.52

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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.