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Finding the Fourth Proportional to 2,684.40, 4,028.28 and 2,663.76

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Solution

The fourth proportional to 2,684.40, 4,028.28 and 2,663.76 is: 3,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.40 : 4,028.28 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    2,684.40/4,028.28 = 2,663.76/x
  3. Step 3: Cross multiply
    2,684.40x = 4,028.28 × 2,663.76
  4. Step 4: Simplify right side
    2,684.40x = 10,730,371.13
  5. Step 5: Solve for x
    x = 10,730,371.13/2,684.40
  6. Step 6: Final answer
    x = 3,997.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.