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Finding the Fourth Proportional to 2,597.82, 3,894.57 and 2,023.26

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Solution

The fourth proportional to 2,597.82, 3,894.57 and 2,023.26 is: 3,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.82 : 3,894.57 = 2,023.26 : x
  2. Step 2: Convert to fraction form
    2,597.82/3,894.57 = 2,023.26/x
  3. Step 3: Cross multiply
    2,597.82x = 3,894.57 × 2,023.26
  4. Step 4: Simplify right side
    2,597.82x = 7,879,727.70
  5. Step 5: Solve for x
    x = 7,879,727.70/2,597.82
  6. Step 6: Final answer
    x = 3,033.21

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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.