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Finding the Fourth Proportional to 2,876.42, 3,969.60 and 1,617.50

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Solution

The fourth proportional to 2,876.42, 3,969.60 and 1,617.50 is: 2,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.42 : 3,969.60 = 1,617.50 : x
  2. Step 2: Convert to fraction form
    2,876.42/3,969.60 = 1,617.50/x
  3. Step 3: Cross multiply
    2,876.42x = 3,969.60 × 1,617.50
  4. Step 4: Simplify right side
    2,876.42x = 6,420,828
  5. Step 5: Solve for x
    x = 6,420,828/2,876.42
  6. Step 6: Final answer
    x = 2,232.23

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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.