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Finding the Fourth Proportional to 2,957.92, 4,082.60 and 1,682.10

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Solution

The fourth proportional to 2,957.92, 4,082.60 and 1,682.10 is: 2,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.92 : 4,082.60 = 1,682.10 : x
  2. Step 2: Convert to fraction form
    2,957.92/4,082.60 = 1,682.10/x
  3. Step 3: Cross multiply
    2,957.92x = 4,082.60 × 1,682.10
  4. Step 4: Simplify right side
    2,957.92x = 6,867,345.67
  5. Step 5: Solve for x
    x = 6,867,345.67/2,957.92
  6. Step 6: Final answer
    x = 2,321.68

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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.