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Finding the Fourth Proportional to 2,599.39, 3,586.26 and 2,034.27

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Solution

The fourth proportional to 2,599.39, 3,586.26 and 2,034.27 is: 2,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.39 : 3,586.26 = 2,034.27 : x
  2. Step 2: Convert to fraction form
    2,599.39/3,586.26 = 2,034.27/x
  3. Step 3: Cross multiply
    2,599.39x = 3,586.26 × 2,034.27
  4. Step 4: Simplify right side
    2,599.39x = 7,295,409.25
  5. Step 5: Solve for x
    x = 7,295,409.25/2,599.39
  6. Step 6: Final answer
    x = 2,806.58

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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.