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Finding the Fourth Proportional to 4,160.63, 6,240.96 and 1,082.63

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Solution

The fourth proportional to 4,160.63, 6,240.96 and 1,082.63 is: 1,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.63 : 6,240.96 = 1,082.63 : x
  2. Step 2: Convert to fraction form
    4,160.63/6,240.96 = 1,082.63/x
  3. Step 3: Cross multiply
    4,160.63x = 6,240.96 × 1,082.63
  4. Step 4: Simplify right side
    4,160.63x = 6,756,650.52
  5. Step 5: Solve for x
    x = 6,756,650.52/4,160.63
  6. Step 6: Final answer
    x = 1,623.95

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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.