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Finding the Fourth Proportional to 2,536.59, 3,806.19 and 1,920.09

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Solution

The fourth proportional to 2,536.59, 3,806.19 and 1,920.09 is: 2,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.59 : 3,806.19 = 1,920.09 : x
  2. Step 2: Convert to fraction form
    2,536.59/3,806.19 = 1,920.09/x
  3. Step 3: Cross multiply
    2,536.59x = 3,806.19 × 1,920.09
  4. Step 4: Simplify right side
    2,536.59x = 7,308,227.36
  5. Step 5: Solve for x
    x = 7,308,227.36/2,536.59
  6. Step 6: Final answer
    x = 2,881.12

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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.