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Finding the Fourth Proportional to 2,999.28, 4,140.72 and 2,006.24

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Solution

The fourth proportional to 2,999.28, 4,140.72 and 2,006.24 is: 2,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.28 : 4,140.72 = 2,006.24 : x
  2. Step 2: Convert to fraction form
    2,999.28/4,140.72 = 2,006.24/x
  3. Step 3: Cross multiply
    2,999.28x = 4,140.72 × 2,006.24
  4. Step 4: Simplify right side
    2,999.28x = 8,307,278.09
  5. Step 5: Solve for x
    x = 8,307,278.09/2,999.28
  6. Step 6: Final answer
    x = 2,769.76

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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.