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Finding the Fourth Proportional to 2,735.99, 3,772.20 and 2,098.68

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Solution

The fourth proportional to 2,735.99, 3,772.20 and 2,098.68 is: 2,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.99 : 3,772.20 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    2,735.99/3,772.20 = 2,098.68/x
  3. Step 3: Cross multiply
    2,735.99x = 3,772.20 × 2,098.68
  4. Step 4: Simplify right side
    2,735.99x = 7,916,634.42
  5. Step 5: Solve for x
    x = 7,916,634.42/2,735.99
  6. Step 6: Final answer
    x = 2,893.51

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1.5x scale

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.