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Finding the Fourth Proportional to 2,536.99, 3,806.15 and 893.29

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Solution

The fourth proportional to 2,536.99, 3,806.15 and 893.29 is: 1,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.99 : 3,806.15 = 893.29 : x
  2. Step 2: Convert to fraction form
    2,536.99/3,806.15 = 893.29/x
  3. Step 3: Cross multiply
    2,536.99x = 3,806.15 × 893.29
  4. Step 4: Simplify right side
    2,536.99x = 3,399,995.73
  5. Step 5: Solve for x
    x = 3,399,995.73/2,536.99
  6. Step 6: Final answer
    x = 1,340.17

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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.