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Finding the Fourth Proportional to 4,277.76, 6,415.20 and 1,680

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Solution

The fourth proportional to 4,277.76, 6,415.20 and 1,680 is: 2,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.76 : 6,415.20 = 1,680 : x
  2. Step 2: Convert to fraction form
    4,277.76/6,415.20 = 1,680/x
  3. Step 3: Cross multiply
    4,277.76x = 6,415.20 × 1,680
  4. Step 4: Simplify right side
    4,277.76x = 10,777,536
  5. Step 5: Solve for x
    x = 10,777,536/4,277.76
  6. Step 6: Final answer
    x = 2,519.43

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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.