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Finding the Fourth Proportional to 2,082.93, 3,124.39 and 696

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Solution

The fourth proportional to 2,082.93, 3,124.39 and 696 is: 1,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.93 : 3,124.39 = 696 : x
  2. Step 2: Convert to fraction form
    2,082.93/3,124.39 = 696/x
  3. Step 3: Cross multiply
    2,082.93x = 3,124.39 × 696
  4. Step 4: Simplify right side
    2,082.93x = 2,174,575.44
  5. Step 5: Solve for x
    x = 2,174,575.44/2,082.93
  6. Step 6: Final answer
    x = 1,044.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.