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Finding the Fourth Proportional to 2,469.83, 3,703.86 and 1,082.77

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Solution

The fourth proportional to 2,469.83, 3,703.86 and 1,082.77 is: 1,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.83 : 3,703.86 = 1,082.77 : x
  2. Step 2: Convert to fraction form
    2,469.83/3,703.86 = 1,082.77/x
  3. Step 3: Cross multiply
    2,469.83x = 3,703.86 × 1,082.77
  4. Step 4: Simplify right side
    2,469.83x = 4,010,419.23
  5. Step 5: Solve for x
    x = 4,010,419.23/2,469.83
  6. Step 6: Final answer
    x = 1,623.77

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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.