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Finding the Fourth Proportional to 2,689.20, 4,028.76 and 2,142

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Solution

The fourth proportional to 2,689.20, 4,028.76 and 2,142 is: 3,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.20 : 4,028.76 = 2,142 : x
  2. Step 2: Convert to fraction form
    2,689.20/4,028.76 = 2,142/x
  3. Step 3: Cross multiply
    2,689.20x = 4,028.76 × 2,142
  4. Step 4: Simplify right side
    2,689.20x = 8,629,603.92
  5. Step 5: Solve for x
    x = 8,629,603.92/2,689.20
  6. Step 6: Final answer
    x = 3,208.99

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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.