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Finding the Fourth Proportional to 2,083, 2,874.92 and 1,296.96

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Solution

The fourth proportional to 2,083, 2,874.92 and 1,296.96 is: 1,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 2,874.92 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    2,083/2,874.92 = 1,296.96/x
  3. Step 3: Cross multiply
    2,083x = 2,874.92 × 1,296.96
  4. Step 4: Simplify right side
    2,083x = 3,728,656.24
  5. Step 5: Solve for x
    x = 3,728,656.24/2,083
  6. Step 6: Final answer
    x = 1,790.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.